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Finding the Third Proportional to 8.79 and 11.86

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Solution

The third proportional to 8.79 and 11.86 is: 16.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.79 : 11.86 = 11.86 : x
  2. Step 2: Convert to fraction form
    8.79/11.86 = 11.86/x
  3. Step 3: Cross multiply
    8.79x = 11.86 × 11.86
  4. Step 4: Simplify right side
    8.79x = 140.74
  5. Step 5: Solve for x
    x = 140.74/8.79
  6. Step 6: Final answer
    x = 16.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.