## Proportions Calculator

A ratio is a comparison of two quantities, and a proportion is an equation that lets us know two ratios are equal to each other.

So when we solve a proportion, we’re really just solving an equation, and we find that it’s easiest to do this when the ratios are written as fractions.

The top and bottom of each side of the equation form the 4 corners of an **x**, which means we can cross-multiply to solve for the unknown.

Remember, we can only cross-multiply when we have two ratios or fractions that are equal to each other - **x** marks the spot!

We can also use cross-multiplication to double check that two ratios are equivalent and form a proportion:

$32 ?64 $ | $52 ?31 $ | |

Cross-Multiply | $32 $ $=$ $64 $ $2×6$ $=$ $4×3$ $12$ $=$ $12$ | $52 $ $=$ $31 $ $2×5$ $=$ $1×3$ $10$ $ =$ $3$ |

Result | ✅ Equal / Proportion | Not equal / Not a proportion |

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You can also use the Quick Links dropdown above to jump to a section of your choice.

## How to Solve a Proportion

### Step 1. Write the ratios as fractions.

### Step 2. Cross-multiply if **x** marks the spot.

**x**.