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Finding the Third Proportional to 38.11 and 80.44

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Solution

The third proportional to 38.11 and 80.44 is: 169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.11 : 80.44 = 80.44 : x
  2. Step 2: Convert to fraction form
    38.11/80.44 = 80.44/x
  3. Step 3: Cross multiply
    38.11x = 80.44 × 80.44
  4. Step 4: Simplify right side
    38.11x = 6,470.19
  5. Step 5: Solve for x
    x = 6,470.19/38.11
  6. Step 6: Final answer
    x = 169.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.