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Finding the Third Proportional to 87.13 and 137.44

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Solution

The third proportional to 87.13 and 137.44 is: 216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.13 : 137.44 = 137.44 : x
  2. Step 2: Convert to fraction form
    87.13/137.44 = 137.44/x
  3. Step 3: Cross multiply
    87.13x = 137.44 × 137.44
  4. Step 4: Simplify right side
    87.13x = 18,889.07
  5. Step 5: Solve for x
    x = 18,889.07/87.13
  6. Step 6: Final answer
    x = 216.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.