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Finding the Third Proportional to 87,306 and 131,697

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Solution

The third proportional to 87,306 and 131,697 is: 198,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,306 : 131,697 = 131,697 : x
  2. Step 2: Convert to fraction form
    87,306/131,697 = 131,697/x
  3. Step 3: Cross multiply
    87,306x = 131,697 × 131,697
  4. Step 4: Simplify right side
    87,306x = 17,344,099,809
  5. Step 5: Solve for x
    x = 17,344,099,809/87,306
  6. Step 6: Final answer
    x = 198,658.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.