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Finding the Third Proportional to 67,909 and 88,731

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Solution

The third proportional to 67,909 and 88,731 is: 115,937.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,909 : 88,731 = 88,731 : x
  2. Step 2: Convert to fraction form
    67,909/88,731 = 88,731/x
  3. Step 3: Cross multiply
    67,909x = 88,731 × 88,731
  4. Step 4: Simplify right side
    67,909x = 7,873,190,361
  5. Step 5: Solve for x
    x = 7,873,190,361/67,909
  6. Step 6: Final answer
    x = 115,937.36

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.