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Finding the Third Proportional to 87,759 and 134,919

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Solution

The third proportional to 87,759 and 134,919 is: 207,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,759 : 134,919 = 134,919 : x
  2. Step 2: Convert to fraction form
    87,759/134,919 = 134,919/x
  3. Step 3: Cross multiply
    87,759x = 134,919 × 134,919
  4. Step 4: Simplify right side
    87,759x = 18,203,136,561
  5. Step 5: Solve for x
    x = 18,203,136,561/87,759
  6. Step 6: Final answer
    x = 207,421.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.