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Finding the Third Proportional to 87.75 and 133.88

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Solution

The third proportional to 87.75 and 133.88 is: 204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.75 : 133.88 = 133.88 : x
  2. Step 2: Convert to fraction form
    87.75/133.88 = 133.88/x
  3. Step 3: Cross multiply
    87.75x = 133.88 × 133.88
  4. Step 4: Simplify right side
    87.75x = 17,922.52
  5. Step 5: Solve for x
    x = 17,922.52/87.75
  6. Step 6: Final answer
    x = 204.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.