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How to solve a proportion

A proportion says two ratios are equal. If one value is missing, cross multiplication finds it.

Last reviewed: 25 October 2026

The method

For A:B = C:X, cross multiply: A × X = B × C, so X = B × C ÷ A.

Examples

Check your answer

Divide each side: 2 ÷ 3 should equal 5 ÷ 7.5. Both give 0.667, so the answer is right.

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Frequently asked questions

What is cross multiplication?

Multiplying the outer and inner terms of two equal ratios to find a missing value.

Does order matter in a proportion?

Yes. Keep the same units in the same positions on both sides.

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