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
- Enter the known ratio on the left (A : B).
- Enter one part of the new ratio on the right (C or D).
- 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.