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Finding the Third Proportional to 6.47 and 13.42

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Solution

The third proportional to 6.47 and 13.42 is: 27.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.47 : 13.42 = 13.42 : x
  2. Step 2: Convert to fraction form
    6.47/13.42 = 13.42/x
  3. Step 3: Cross multiply
    6.47x = 13.42 × 13.42
  4. Step 4: Simplify right side
    6.47x = 180.12
  5. Step 5: Solve for x
    x = 180.12/6.47
  6. Step 6: Final answer
    x = 27.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.