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Finding the Third Proportional to 87,703 and 136,689

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Solution

The third proportional to 87,703 and 136,689 is: 213,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,703 : 136,689 = 136,689 : x
  2. Step 2: Convert to fraction form
    87,703/136,689 = 136,689/x
  3. Step 3: Cross multiply
    87,703x = 136,689 × 136,689
  4. Step 4: Simplify right side
    87,703x = 18,683,882,721
  5. Step 5: Solve for x
    x = 18,683,882,721/87,703
  6. Step 6: Final answer
    x = 213,035.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.