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Finding the Third Proportional to 87,677 and 135,608

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Solution

The third proportional to 87,677 and 135,608 is: 209,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,677 : 135,608 = 135,608 : x
  2. Step 2: Convert to fraction form
    87,677/135,608 = 135,608/x
  3. Step 3: Cross multiply
    87,677x = 135,608 × 135,608
  4. Step 4: Simplify right side
    87,677x = 18,389,529,664
  5. Step 5: Solve for x
    x = 18,389,529,664/87,677
  6. Step 6: Final answer
    x = 209,741.78

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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.