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Finding the Third Proportional to 34.38 and 81.11

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Solution

The third proportional to 34.38 and 81.11 is: 191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.38 : 81.11 = 81.11 : x
  2. Step 2: Convert to fraction form
    34.38/81.11 = 81.11/x
  3. Step 3: Cross multiply
    34.38x = 81.11 × 81.11
  4. Step 4: Simplify right side
    34.38x = 6,578.10
  5. Step 5: Solve for x
    x = 6,578.10/34.38
  6. Step 6: Final answer
    x = 191.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.