How to use this tool
- Enter a, b, c.
- Select Calculate to view the result.
- Check the method and assumptions below before using the result.
Input reference and sample values
Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.
| Input | Format and units | Sample |
|---|---|---|
| a | Numeric value. Must be greater than zero. | 2 |
| b | Numeric value. Must be greater than zero. | 3 |
| c | Numeric value. Must be greater than zero. | 10 |
Result for these sample inputs
15
- Multiplier from a to c
- 5
Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.
The method, explained
Cross-multiply a × x = b × c, then divide by a: x = b × c ÷ a.
For 2/3 = 10/x, x is 15. Both sides equal two-thirds.
What to keep in mind
All three inputs must be positive. This assumes direct proportionality and does not establish that real-world quantities scale linearly.
Common questions
Where is the missing value?
It is the denominator of the second fraction: c/x. Rearrange your known values accordingly.
Can this scale a recipe?
Yes, when ingredient quantities scale directly. Cooking time or temperature may not scale in the same way.
Methodology maintained by ClarityKit. How these tools are built and checked.