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Finding the Third Proportional to 37.98 and 81.96

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Solution

The third proportional to 37.98 and 81.96 is: 176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.98 : 81.96 = 81.96 : x
  2. Step 2: Convert to fraction form
    37.98/81.96 = 81.96/x
  3. Step 3: Cross multiply
    37.98x = 81.96 × 81.96
  4. Step 4: Simplify right side
    37.98x = 6,717.60
  5. Step 5: Solve for x
    x = 6,717.60/37.98
  6. Step 6: Final answer
    x = 176.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.