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Finding the Third Proportional to 11.86 and 13.62

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Solution

The third proportional to 11.86 and 13.62 is: 15.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.86 : 13.62 = 13.62 : x
  2. Step 2: Convert to fraction form
    11.86/13.62 = 13.62/x
  3. Step 3: Cross multiply
    11.86x = 13.62 × 13.62
  4. Step 4: Simplify right side
    11.86x = 185.62
  5. Step 5: Solve for x
    x = 185.62/11.86
  6. Step 6: Final answer
    x = 15.65

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.