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Finding the Third Proportional to 87,638 and 131,306

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Solution

The third proportional to 87,638 and 131,306 is: 196,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,638 : 131,306 = 131,306 : x
  2. Step 2: Convert to fraction form
    87,638/131,306 = 131,306/x
  3. Step 3: Cross multiply
    87,638x = 131,306 × 131,306
  4. Step 4: Simplify right side
    87,638x = 17,241,265,636
  5. Step 5: Solve for x
    x = 17,241,265,636/87,638
  6. Step 6: Final answer
    x = 196,732.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.