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Finding the Third Proportional to 87.88 and 137.88

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Solution

The third proportional to 87.88 and 137.88 is: 216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.88 : 137.88 = 137.88 : x
  2. Step 2: Convert to fraction form
    87.88/137.88 = 137.88/x
  3. Step 3: Cross multiply
    87.88x = 137.88 × 137.88
  4. Step 4: Simplify right side
    87.88x = 19,009.52
  5. Step 5: Solve for x
    x = 19,009.52/87.88
  6. Step 6: Final answer
    x = 216.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.