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Finding the Third Proportional to 641,002 and 928,431

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Solution

The third proportional to 641,002 and 928,431 is: 1,344,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,002 : 928,431 = 928,431 : x
  2. Step 2: Convert to fraction form
    641,002/928,431 = 928,431/x
  3. Step 3: Cross multiply
    641,002x = 928,431 × 928,431
  4. Step 4: Simplify right side
    641,002x = 861,984,121,761
  5. Step 5: Solve for x
    x = 861,984,121,761/641,002
  6. Step 6: Final answer
    x = 1,344,744.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.