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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

  1. Step 1: Write the proportion equation
    403,652 : 642,414 = 642,414 : x
  2. Step 2: Convert to fraction form
    403,652/642,414 = 642,414/x
  3. Step 3: Cross multiply
    403,652x = 642,414 × 642,414
  4. Step 4: Simplify right side
    403,652x = 412,695,747,396
  5. Step 5: Solve for x
    x = 412,695,747,396/403,652
  6. Step 6: Final answer
    x = 1,022,404.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.