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Finding the Third Proportional to 636,612 and 865,107

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Solution

The third proportional to 636,612 and 865,107 is: 1,175,614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,612 : 865,107 = 865,107 : x
  2. Step 2: Convert to fraction form
    636,612/865,107 = 865,107/x
  3. Step 3: Cross multiply
    636,612x = 865,107 × 865,107
  4. Step 4: Simplify right side
    636,612x = 748,410,121,449
  5. Step 5: Solve for x
    x = 748,410,121,449/636,612
  6. Step 6: Final answer
    x = 1,175,614.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.