Math & Algebra Tool

Ratio Solver

Solve for the unknown value X in the proportion A : B = C : X.

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Σ The Formula

a:b simplified by GCF | Proportion: a:b = c:d → ad = bc

Real World Examples

Simplify Ratio
12:16 = 3:4
Golden Ratio
1.618 : 1
Screen Aspect
1920:1080 = 16:9
Cooking
2 parts oil : 1 part vinegar

# About This Calculator

A Ratio compares two quantities by division, indicating how many times one value contains or is contained by the other. It is usually written as "A to B" or "A:B" or occasionally as a fraction "A/B".

This tool helps you Solve for X in a ratio equation (A:B = C:X), which is essentially solving a proportion. This is useful for resizing images (keeping aspect ratio locked) or scaling models.

Ratio Simplification: 10:20 is the same ratio as 1:2. They represent the same proportional relationship.

How To Use

  1. Enter the known ratio on the left (A : B).
  2. Enter one part of the new ratio on the right (C or D).
  3. The tool calculates the missing part to keep the ratio equivalent.

Frequently Asked Questions

What is an Aspect Ratio?+

It describes the proportional relationship between width and height of an image or screen. Standard TV is 16:9.

How do I simplify a ratio?+

Divide both sides by their Greatest Common Divisor (GCD). For 5:10, divide both by 5 to get 1:2.

Is order important?+

Yes! 1:2 is very different from 2:1. Always keep which number represents which quantity consistent.

What is a 'Unit Rate'?+

A ratio where the second value is 1. Example: 60 miles per 1 hour (60:1).

Can ratios have decimals?+

Yes (e.g. 1.5 : 4.5), but usually we multiply both sides by 10 to clear decimals for a cleaner look (15 : 45 -> 1 : 3).

Is Ratio Solver free to use?+

Yes, Ratio Solver on Matheric is completely free to use. We believe in accessible education and utility for everyone.

About

A Ratio compares two quantities by division, indicating how many times one value contains or is contained by the other. It is usually written as "A to B" or "A:B" or occasionally as a fraction "A/B".

This tool helps you Solve for X in a ratio equation (A:B = C:X), which is essentially solving a proportion. This is useful for resizing images (keeping aspect ratio locked) or scaling models.

Ratio Simplification: 10:20 is the same ratio as 1:2. They represent the same proportional relationship.

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