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Finding the Third Proportional to 8.14 and 11.97

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Solution

The third proportional to 8.14 and 11.97 is: 17.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.14 : 11.97 = 11.97 : x
  2. Step 2: Convert to fraction form
    8.14/11.97 = 11.97/x
  3. Step 3: Cross multiply
    8.14x = 11.97 × 11.97
  4. Step 4: Simplify right side
    8.14x = 143.30
  5. Step 5: Solve for x
    x = 143.30/8.14
  6. Step 6: Final answer
    x = 17.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.