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Finding the Third Proportional to 6.42 and 13.11

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Solution

The third proportional to 6.42 and 13.11 is: 26.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.42 : 13.11 = 13.11 : x
  2. Step 2: Convert to fraction form
    6.42/13.11 = 13.11/x
  3. Step 3: Cross multiply
    6.42x = 13.11 × 13.11
  4. Step 4: Simplify right side
    6.42x = 171.84
  5. Step 5: Solve for x
    x = 171.84/6.42
  6. Step 6: Final answer
    x = 26.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.