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Finding the Third Proportional to 87.84 and 135.73

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Solution

The third proportional to 87.84 and 135.73 is: 209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.84 : 135.73 = 135.73 : x
  2. Step 2: Convert to fraction form
    87.84/135.73 = 135.73/x
  3. Step 3: Cross multiply
    87.84x = 135.73 × 135.73
  4. Step 4: Simplify right side
    87.84x = 18,423.82
  5. Step 5: Solve for x
    x = 18,423.82/87.84
  6. Step 6: Final answer
    x = 209.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.