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Finding the Third Proportional to 37.76 and 81.11

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Solution

The third proportional to 37.76 and 81.11 is: 174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.76 : 81.11 = 81.11 : x
  2. Step 2: Convert to fraction form
    37.76/81.11 = 81.11/x
  3. Step 3: Cross multiply
    37.76x = 81.11 × 81.11
  4. Step 4: Simplify right side
    37.76x = 6,578.10
  5. Step 5: Solve for x
    x = 6,578.10/37.76
  6. Step 6: Final answer
    x = 174.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.