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Finding the Third Proportional to 11.97 and 27.66

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Solution

The third proportional to 11.97 and 27.66 is: 63.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.97 : 27.66 = 27.66 : x
  2. Step 2: Convert to fraction form
    11.97/27.66 = 27.66/x
  3. Step 3: Cross multiply
    11.97x = 27.66 × 27.66
  4. Step 4: Simplify right side
    11.97x = 764.87
  5. Step 5: Solve for x
    x = 764.87/11.97
  6. Step 6: Final answer
    x = 63.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.