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Finding the Third Proportional to 87,538 and 135,787

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Solution

The third proportional to 87,538 and 135,787 is: 210,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,538 : 135,787 = 135,787 : x
  2. Step 2: Convert to fraction form
    87,538/135,787 = 135,787/x
  3. Step 3: Cross multiply
    87,538x = 135,787 × 135,787
  4. Step 4: Simplify right side
    87,538x = 18,438,109,369
  5. Step 5: Solve for x
    x = 18,438,109,369/87,538
  6. Step 6: Final answer
    x = 210,629.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.