Finding the Third Proportional to 429 and 456
Calculator
Solution
The third proportional to 429 and 456 is: 484.70
Step by Step Solution
- Step 1: Write the proportion equation
429 : 456 = 456 : x - Step 2: Convert to fraction form
429/456 = 456/x - Step 3: Cross multiply
429x = 456 × 456 - Step 4: Simplify right side
429x = 207,936 - Step 5: Solve for x
x = 207,936/429 - Step 6: Final answer
x = 484.70
Related Problems
Find third proportional to 214.50 and 228
Half scale
Find third proportional to 858 and 912
Double scale
Find third proportional to 431 and 458
Similar ratio
Find third proportional to 643.50 and 684
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.