Finding the Third Proportional to 403,652 and 642,414
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Solution
The third proportional to 403,652 and 642,414 is: 1,022,404.81
Step by Step Solution
- Step 1: Write the proportion equation
403,652 : 642,414 = 642,414 : x - Step 2: Convert to fraction form
403,652/642,414 = 642,414/x - Step 3: Cross multiply
403,652x = 642,414 × 642,414 - Step 4: Simplify right side
403,652x = 412,695,747,396 - Step 5: Solve for x
x = 412,695,747,396/403,652 - Step 6: Final answer
x = 1,022,404.81
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.