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Finding the Third Proportional to 6.42 and 13.85

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Solution

The third proportional to 6.42 and 13.85 is: 29.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.42 : 13.85 = 13.85 : x
  2. Step 2: Convert to fraction form
    6.42/13.85 = 13.85/x
  3. Step 3: Cross multiply
    6.42x = 13.85 × 13.85
  4. Step 4: Simplify right side
    6.42x = 191.91
  5. Step 5: Solve for x
    x = 191.91/6.42
  6. Step 6: Final answer
    x = 29.89

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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.