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Finding the Third Proportional to 57,909 and 125,781

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Solution

The third proportional to 57,909 and 125,781 is: 273,202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,909 : 125,781 = 125,781 : x
  2. Step 2: Convert to fraction form
    57,909/125,781 = 125,781/x
  3. Step 3: Cross multiply
    57,909x = 125,781 × 125,781
  4. Step 4: Simplify right side
    57,909x = 15,820,859,961
  5. Step 5: Solve for x
    x = 15,820,859,961/57,909
  6. Step 6: Final answer
    x = 273,202.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.