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Finding the Third Proportional to 87,454 and 131,919

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Solution

The third proportional to 87,454 and 131,919 is: 198,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,454 : 131,919 = 131,919 : x
  2. Step 2: Convert to fraction form
    87,454/131,919 = 131,919/x
  3. Step 3: Cross multiply
    87,454x = 131,919 × 131,919
  4. Step 4: Simplify right side
    87,454x = 17,402,622,561
  5. Step 5: Solve for x
    x = 17,402,622,561/87,454
  6. Step 6: Final answer
    x = 198,991.73

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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.