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Finding the Third Proportional to 81.11 and 91.34

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Solution

The third proportional to 81.11 and 91.34 is: 102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.11 : 91.34 = 91.34 : x
  2. Step 2: Convert to fraction form
    81.11/91.34 = 91.34/x
  3. Step 3: Cross multiply
    81.11x = 91.34 × 91.34
  4. Step 4: Simplify right side
    81.11x = 8,342.25
  5. Step 5: Solve for x
    x = 8,342.25/81.11
  6. Step 6: Final answer
    x = 102.86

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.