## Introduction to Proportion Calculator

Proportion calculator is an online source used to **find the proportion** between two quantities in less than a minute. Our tool helps you determine the unknown number from the given ratio to check whether one quantity is increasing or decreasing.

The proportions calculator is a valuable source for all as it can be applied in almost all fields in sports, transportation, time, measurement vehicles, etc.

## What is a Proportion?

Proportion is the **comparison between two quantities** that are equivalent to each other. It is denoted with a double colon “:: “ symbol or ” = “ sign. Proportion represents two equal quantities in the form of fractions and ratios.

Two types of proportion are used in mathematics. One is the direct proportion and the other is the indirect proportion. When two quantities increase or decrease in any question, you use the proportion method to get a solution.

## How to Calculate Proportion

For solving proportions, you need to know about the direct and inverse proportion concepts. Let's see the **proportional calculation process** in the proportion solver and understand both direct or inverse proportion problems one by one.

**For Direct Proportion:**

The **direct proportion steps** used by the Proportion calculator to solve the direct proportion problem are given below,

**Step 1**:

First, our tool Identifies the given two quantities to check if it is directly proportional to each other or not.

**Step 2**:

After observing the given problem is directly proportional. Then it writes down the proportional problem that makes the relationship between the two quantities using the formula y=kx, where k is the proportionality constant.

**Step 3**:

If y is directly proportional to x, then the ratio of y to x has a constant of proportionality k.

**Step 4**:

Using the formula, the proportional calculator puts the x and y values to find the proportional constant.

**Step 5**:

After that, it adds the proportional constant value and x value in that formula again to solve the unknown quantity for the solution of a given problem.

**For Inverse Proportion:**

To **solve the inverse proportion** problem, the proportional relationship calculator uses the given steps that are,

**Step 1**:

First, it Identifies the two quantities to check whether they are inversely proportional or directly proportional to each other.

**Step 2**:

It Writes down the proportion between the two quantities using the formula xy=k, where k is the proportionality constant.

**Step 3**:

If y is inversely proportional to x, then the product of x and y remains constant.

**Step 4**:

With the help of the formula proportionality calculator put the x and y values to find the inversely proportional constant value.

**Step 5**:

For the Calculation of the unknown values, again it put the x and k values in that formula for the solution.

In these steps, you can effectively calculate proportions in both direct and inverse proportion problems with solutions. The proportions solver always ensures that you understand the comparison between two quantities and use the appropriate formula to solve for the unknown quantity.

## Examples of Solving Proportions

Let's see **an example of proportion** to understand the working procedure of the Proportion calculator with fractions and know how to solve such problems manually.

### Example:

In an office supply store, there are 8 that cost 12.00$. Assume that all the markers are equally priced then how much do 6 markers cost?

**Solution**:

In the given problem we use the proportion method because the total cost is equal to the number of marketer prices.

$$ \frac{12\;dollars}{8 \;markers} \;=\; \frac{x\;dollars}{6\;markers} $$

Rewrite the above expression as,

$$ \frac{12}{8} \;=\; \frac{x}{6} $$

Use cross multiplication method to reduce the fraction

$$ x \times 8 \;=\; 12 \times 6 $$

After multiplying we get

$$ 8x \;=\; 72 $$

Divide 8 on both sides of the equation,

$$ x \;=\; \frac{72}{8} \;=\; 72 \div 8 \;=\; 9 $$

Since x=9 that means 6 marketers will cost 9$.

### Example:

Y is inversely proportional to x but when y = 2, x = 3 then find the value of y when x = 18.

**Solution**:

y is inversely proportional to x as y∝ 1/x.

$$ y \;=\; \frac{k}{x} $$

Put y=2 and x=3 in the above equation

$$ 2 \;=\; \frac{k}{3} $$

$$ k \;=\; 2 \times 3 \;=\; 6 $$

We get k=6.

Thus, the proportionality equation becomes,

$$ y \;=\; \frac{6}{x} $$

Put x=18 to get y value.

$$ y \;=\; \frac{6}{18} \;=\; \frac{1}{3} $$

## How to Use a Proportion Calculator

The proportions calculator has an easy-to-use interface so that you can use it to solve the proportion of two or more than two numbers.

Before adding the input value to the different types of numbers for calculating proportions problems, you must follow some simple steps before calculation. These steps are:

**Enter the numerator**or denominator of the first number in the input box.- Enter the numerator or denominator of the second number in the input box.
- Review your input number value before hitting the calculate button to start the calculation process in the proportion solver.
- Click on the “Calculate” button to get the desired result of your given proportion problem
- If you want to try out our proportional calculator first then you can use the load example for a better understanding.
- Click on the “Recalculate” button to get a new page for solving more number values in the proportional relationship calculator.

## Final Result of the Proportions Calculator

The Proportion calculator with fractions gives you the **solution to a given proportional problem** when you add the input to it. It provides you with solutions in a step-wise process for more clarity. It may contain as:

**Result Option**

You can click on the result option and it provides you with a solution for proportion problems.

**Possible Step**

When you click on the possible steps option it provides you the solution of the proportion problem in which all calculation steps are in detail.

## Advantages of Using Proportion Solver

Calculator proportion gives you tons of **advantages** whenever you use it to solve proportions. These advantages are:

**Save Time**:

Our proportional calculator saves your time and effort from doing lengthy proportional calculations of numbers in a few seconds

**Free of Cost**:

Proportions calculator is a free-of-cost tool so you can use it to calculate proportion questions.

**Adaptable Tool**:

It is an adaptable tool that can be used through all types of devices with an internet connection worldwide.

**Practical Tool**:

You can use this proportion solver for practice so that you get a strong hold on this concept.

**Reliable Tool**:

The proportionality calculator is a reliable tool that provides you with accurate solutions every time whenever you use it to solve proportions problem.

**Detail Solution**:

The Proportion calculator with fractions provides a solution with a complete process in a step-by-step method so that you get more clarity.