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Finding the Third Proportional to 636,842 and 865,350

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Solution

The third proportional to 636,842 and 865,350 is: 1,175,849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,842 : 865,350 = 865,350 : x
  2. Step 2: Convert to fraction form
    636,842/865,350 = 865,350/x
  3. Step 3: Cross multiply
    636,842x = 865,350 × 865,350
  4. Step 4: Simplify right side
    636,842x = 748,830,622,500
  5. Step 5: Solve for x
    x = 748,830,622,500/636,842
  6. Step 6: Final answer
    x = 1,175,849.93

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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.