🎓 Mathematics • Ratios & Percentages
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Ratio Calculator
Solves unknown terms in proportions A:B = C:D, reduces large ratios using GCD, and scales ratios.
Studio-Grade Mathematical Suite
Math & Statistics Calculator
High-precision percentage, fraction arithmetic, ratio scaling, dataset averages, statistical variance, and combinatorics.
Standard Aspect Ratios:
Solve for D in proportion: A : B = C : D
1080.00
Ratio Analysis
Simplified Ratio
16 : 9
Scaling Factor
×120.000
Proportional Pair
1920 × 1080.0
16:9
What is a Ratio?
A ratio compares the relative sizes of two or more numerical values.
A proportion equates two ratios: A/B = C/D. Cross-multiplication solves any single missing value.
Formula & Step-by-Step Calculation
A / B = C / D ⟹ D = (B × C) / A
The product of the means equals the product of the extremes.
Worked Step-by-Step Examples
Example 1
Solve 3 : 5 = 9 : D
Solution: D = 15
• 3D = 45 ⟹ D = 15
Common Real-World & Academic Use Cases
- ✓ Recipe ingredient scaling
- ✓ Screen aspect ratios
- ✓ Map scale conversions
How to Use the Ratio Calculator
1
Input Knowns
Fill A, B, and C.
2
Solve Variable
Inspect calculated D and step-by-step arithmetic.
Frequently Asked Questions
Q: What is an aspect ratio?
The proportional relationship between the width and height of an image or screen.