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Finding the Third Proportional to 11.92 and 13.65

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Solution

The third proportional to 11.92 and 13.65 is: 15.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.92 : 13.65 = 13.65 : x
  2. Step 2: Convert to fraction form
    11.92/13.65 = 13.65/x
  3. Step 3: Cross multiply
    11.92x = 13.65 × 13.65
  4. Step 4: Simplify right side
    11.92x = 186.19
  5. Step 5: Solve for x
    x = 186.19/11.92
  6. Step 6: Final answer
    x = 15.61

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.