Finding the Third Proportional to 418 and 456
Calculator
Solution
The third proportional to 418 and 456 is: 497.45
Step by Step Solution
- Step 1: Write the proportion equation
418 : 456 = 456 : x - Step 2: Convert to fraction form
418/456 = 456/x - Step 3: Cross multiply
418x = 456 × 456 - Step 4: Simplify right side
418x = 207,936 - Step 5: Solve for x
x = 207,936/418 - Step 6: Final answer
x = 497.45
Related Problems
Find third proportional to 209 and 228
Half scale
Find third proportional to 836 and 912
Double scale
Find third proportional to 420 and 458
Similar ratio
Find third proportional to 627 and 684
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.