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Finding the Third Proportional to 636,608 and 865,101

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Solution

The third proportional to 636,608 and 865,101 is: 1,175,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,608 : 865,101 = 865,101 : x
  2. Step 2: Convert to fraction form
    636,608/865,101 = 865,101/x
  3. Step 3: Cross multiply
    636,608x = 865,101 × 865,101
  4. Step 4: Simplify right side
    636,608x = 748,399,740,201
  5. Step 5: Solve for x
    x = 748,399,740,201/636,608
  6. Step 6: Final answer
    x = 1,175,605.30

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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.