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Finding the Third Proportional to 37.31 and 81.19

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Solution

The third proportional to 37.31 and 81.19 is: 176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.31 : 81.19 = 81.19 : x
  2. Step 2: Convert to fraction form
    37.31/81.19 = 81.19/x
  3. Step 3: Cross multiply
    37.31x = 81.19 × 81.19
  4. Step 4: Simplify right side
    37.31x = 6,591.41
  5. Step 5: Solve for x
    x = 6,591.41/37.31
  6. Step 6: Final answer
    x = 176.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.