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Finding the Third Proportional to 688,539 and 938,691

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Solution

The third proportional to 688,539 and 938,691 is: 1,279,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,539 : 938,691 = 938,691 : x
  2. Step 2: Convert to fraction form
    688,539/938,691 = 938,691/x
  3. Step 3: Cross multiply
    688,539x = 938,691 × 938,691
  4. Step 4: Simplify right side
    688,539x = 881,140,793,481
  5. Step 5: Solve for x
    x = 881,140,793,481/688,539
  6. Step 6: Final answer
    x = 1,279,725.32

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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.