Proportion Calculator

Solve proportions and find missing values using equivalent ratios and cross multiplication.

A : B = C : D

Leave exactly one value blank to solve for it.

Proportion Formula

For: A : B = C : D Cross multiplication: A × D = B × C Examples: D = (B × C) ÷ A C = (A × D) ÷ B B = (A × D) ÷ C A = (B × C) ÷ D

A proportion compares two equivalent ratios. Cross multiplication converts the proportion into an equation that can be solved for the missing value.

How to Solve a Proportion

1

Enter Three Known Values

Enter any three values in the proportion. Leave exactly one value blank.

2

Cross Multiply

Multiply the terms diagonally across the proportion.

3

Solve for the Missing Value

Divide by the remaining known coefficient to find the missing value.

Common Uses of Proportions

Recipes & Scaling

Scale ingredient quantities while maintaining the same proportions.

Scale & Maps

Convert distances and measurements using scale relationships.

Rates & Costs

Find missing quantities when prices, rates or amounts are proportional.

Mixtures

Maintain consistent proportions when combining quantities or solutions.

Frequently Asked Questions

A proportion is an equation stating that two ratios or fractions are equal, such as 2:3 = 8:12.
Set the two ratios equal and use cross multiplication. For A:B = C:x, multiply B by C and divide by A to find x.
Cross multiplication multiplies the numerator of one fraction by the denominator of the other. For A/B = C/D, the equation becomes A × D = B × C.
Yes. Proportions can contain decimals as long as the denominators used in the calculation are not zero.