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Finding the Third Proportional to 4.11 and 7.91

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Solution

The third proportional to 4.11 and 7.91 is: 15.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.11 : 7.91 = 7.91 : x
  2. Step 2: Convert to fraction form
    4.11/7.91 = 7.91/x
  3. Step 3: Cross multiply
    4.11x = 7.91 × 7.91
  4. Step 4: Simplify right side
    4.11x = 62.57
  5. Step 5: Solve for x
    x = 62.57/4.11
  6. Step 6: Final answer
    x = 15.21

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.