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Finding the Third Proportional to 6.29 and 11.97

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Solution

The third proportional to 6.29 and 11.97 is: 22.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.29 : 11.97 = 11.97 : x
  2. Step 2: Convert to fraction form
    6.29/11.97 = 11.97/x
  3. Step 3: Cross multiply
    6.29x = 11.97 × 11.97
  4. Step 4: Simplify right side
    6.29x = 143.39
  5. Step 5: Solve for x
    x = 143.39/6.29
  6. Step 6: Final answer
    x = 22.79

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.