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Finding the Third Proportional to 54.11 and 81.87

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Solution

The third proportional to 54.11 and 81.87 is: 123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.11 : 81.87 = 81.87 : x
  2. Step 2: Convert to fraction form
    54.11/81.87 = 81.87/x
  3. Step 3: Cross multiply
    54.11x = 81.87 × 81.87
  4. Step 4: Simplify right side
    54.11x = 6,702.72
  5. Step 5: Solve for x
    x = 6,702.72/54.11
  6. Step 6: Final answer
    x = 123.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.