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Finding the Third Proportional to 56,702 and 85,691

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Solution

The third proportional to 56,702 and 85,691 is: 129,500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,702 : 85,691 = 85,691 : x
  2. Step 2: Convert to fraction form
    56,702/85,691 = 85,691/x
  3. Step 3: Cross multiply
    56,702x = 85,691 × 85,691
  4. Step 4: Simplify right side
    56,702x = 7,342,947,481
  5. Step 5: Solve for x
    x = 7,342,947,481/56,702
  6. Step 6: Final answer
    x = 129,500.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.