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Finding the Third Proportional to 87.89 and 139.92

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Solution

The third proportional to 87.89 and 139.92 is: 222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.89 : 139.92 = 139.92 : x
  2. Step 2: Convert to fraction form
    87.89/139.92 = 139.92/x
  3. Step 3: Cross multiply
    87.89x = 139.92 × 139.92
  4. Step 4: Simplify right side
    87.89x = 19,578.13
  5. Step 5: Solve for x
    x = 19,578.13/87.89
  6. Step 6: Final answer
    x = 222.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.