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Finding the Third Proportional to 37.92 and 79.92

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Solution

The third proportional to 37.92 and 79.92 is: 168.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.92 : 79.92 = 79.92 : x
  2. Step 2: Convert to fraction form
    37.92/79.92 = 79.92/x
  3. Step 3: Cross multiply
    37.92x = 79.92 × 79.92
  4. Step 4: Simplify right side
    37.92x = 6,387.51
  5. Step 5: Solve for x
    x = 6,387.51/37.92
  6. Step 6: Final answer
    x = 168.44

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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.