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Finding the Third Proportional to 3.86 and 7.92

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Solution

The third proportional to 3.86 and 7.92 is: 16.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.86 : 7.92 = 7.92 : x
  2. Step 2: Convert to fraction form
    3.86/7.92 = 7.92/x
  3. Step 3: Cross multiply
    3.86x = 7.92 × 7.92
  4. Step 4: Simplify right side
    3.86x = 62.65
  5. Step 5: Solve for x
    x = 62.65/3.86
  6. Step 6: Final answer
    x = 16.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.