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Finding the Third Proportional to 11,909 and 27,691

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Solution

The third proportional to 11,909 and 27,691 is: 64,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909 : 27,691 = 27,691 : x
  2. Step 2: Convert to fraction form
    11,909/27,691 = 27,691/x
  3. Step 3: Cross multiply
    11,909x = 27,691 × 27,691
  4. Step 4: Simplify right side
    11,909x = 766,791,481
  5. Step 5: Solve for x
    x = 766,791,481/11,909
  6. Step 6: Final answer
    x = 64,387.56

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.