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Finding the Third Proportional to 111,909 and 241,691

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Solution

The third proportional to 111,909 and 241,691 is: 521,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,909 : 241,691 = 241,691 : x
  2. Step 2: Convert to fraction form
    111,909/241,691 = 241,691/x
  3. Step 3: Cross multiply
    111,909x = 241,691 × 241,691
  4. Step 4: Simplify right side
    111,909x = 58,414,539,481
  5. Step 5: Solve for x
    x = 58,414,539,481/111,909
  6. Step 6: Final answer
    x = 521,982.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.