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Finding the Third Proportional to 3.85 and 7.27

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Solution

The third proportional to 3.85 and 7.27 is: 13.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.85 : 7.27 = 7.27 : x
  2. Step 2: Convert to fraction form
    3.85/7.27 = 7.27/x
  3. Step 3: Cross multiply
    3.85x = 7.27 × 7.27
  4. Step 4: Simplify right side
    3.85x = 52.85
  5. Step 5: Solve for x
    x = 52.85/3.85
  6. Step 6: Final answer
    x = 13.73

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.