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Finding the Third Proportional to 87.57 and 93.62

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Solution

The third proportional to 87.57 and 93.62 is: 100.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.57 : 93.62 = 93.62 : x
  2. Step 2: Convert to fraction form
    87.57/93.62 = 93.62/x
  3. Step 3: Cross multiply
    87.57x = 93.62 × 93.62
  4. Step 4: Simplify right side
    87.57x = 8,764.09
  5. Step 5: Solve for x
    x = 8,764.09/87.57
  6. Step 6: Final answer
    x = 100.09

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.