What This Calculator Does
Simplify ratios and solve proportions (a:b = c:x) instantly.
How to Use This Calculator?
- Select Simplify/Scale Ratio tab or Solve Proportion tab.
- Enter ratio values (A, B, C) or proportion terms (a, b, c).
- Click Calculate to solve for X or view the simplified irreducible ratio.
Formula & Calculation Logic
Ratio A:B = A/GCD : B/GCD | Proportion: X = (B * C) / A
Worked Example & Walkthrough
Ratio 12:18 => 2:3 | Proportion 2/4 = 5/X => X = 10
In-Depth Comprehensive Guide
Ratio & Proportion Calculator Guide
Ratios compare relative quantities, while proportions express equality between two ratios. This online calculator handles both 2-way and 3-way ratio simplification alongside proportion equation solving.
Key Capabilities
- Simplify Ratios: Reduce 12:18 to 2:3 using GCD reduction.
- 3-Way Ratios: Simplify multi-part ratios like 12:18:24 down to 2:3:4.
- Scale Ratios: Multiply ratios by custom scaling factors for recipes or model building.
- Solve Proportions: Find the missing term X in
a:b = c:xusing cross-multiplication (x = (b * c) / a).
Frequently Asked Questions (FAQ)
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