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Finding the Third Proportional to 85,847 and 207,691

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Solution

The third proportional to 85,847 and 207,691 is: 502,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,847 : 207,691 = 207,691 : x
  2. Step 2: Convert to fraction form
    85,847/207,691 = 207,691/x
  3. Step 3: Cross multiply
    85,847x = 207,691 × 207,691
  4. Step 4: Simplify right side
    85,847x = 43,135,551,481
  5. Step 5: Solve for x
    x = 43,135,551,481/85,847
  6. Step 6: Final answer
    x = 502,470.11

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.