Proportion and Ratio Calculator

Master proportions and ratios with precision using this professional calculator. Solve unknowns simplify ratios split amounts to parts compare rates apply scale factors and convert to percentages or fractions. Detailed steps input validation and shareable results make it perfect for students analysts engineers teachers and everyday problem solving researchers planners financiers technicians architects designers

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Inputs accept decimals, fractions like 3/4 and percentages like 12%. Leave one term blank in the proportion form to solve for it.

How it works

Proportion: For a/b = c/d, cross multiplication yields a × d = b × c. Solving for a missing term is straightforward algebra, e.g., a = (b × c) / d.

Simplifying ratios: Convert decimals/fractions to integers by scaling, then divide by the greatest common divisor to get the simplest integer form.

Splitting by ratio: If the total is T and the ratio parts are ri, each share is T × ri / Σr.

FAQs

Can I leave a term blank to solve a proportion?

Yes. Enter values for three of a, b, c, d and leave one empty or enter x. The solver uses cross multiplication to find the missing term.

How do I enter fractions or percentages?

You can type 3/4 for a fraction and 25% for a percentage. Both are interpreted numerically. Decimals like 0.75 are also supported.

What if my ratio contains decimals?

The tool scales decimals to whole numbers internally and simplifies by dividing by the greatest common divisor, producing a clean integer ratio.

Can I split a total into more than two parts?

Yes. Provide a ratio with as many terms as you need, like 1:1:2. Each part is computed as a share of the total.

How does scale factor a:b work?

A scale 1:3 multiplies the base by 3/1. You can also enter a numeric factor, like 2, which doubles the base value.

Are tiny rounding differences expected?

Yes. Floating point arithmetic can introduce small rounding differences. Displayed results are trimmed to sensible precision for readability.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.