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Finding the Third Proportional to 12.66 and 13.92

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Solution

The third proportional to 12.66 and 13.92 is: 15.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.66 : 13.92 = 13.92 : x
  2. Step 2: Convert to fraction form
    12.66/13.92 = 13.92/x
  3. Step 3: Cross multiply
    12.66x = 13.92 × 13.92
  4. Step 4: Simplify right side
    12.66x = 193.82
  5. Step 5: Solve for x
    x = 193.82/12.66
  6. Step 6: Final answer
    x = 15.31

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.