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Finding the Third Proportional to 8.08 and 11.69

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Solution

The third proportional to 8.08 and 11.69 is: 16.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.08 : 11.69 = 11.69 : x
  2. Step 2: Convert to fraction form
    8.08/11.69 = 11.69/x
  3. Step 3: Cross multiply
    8.08x = 11.69 × 11.69
  4. Step 4: Simplify right side
    8.08x = 136.60
  5. Step 5: Solve for x
    x = 136.60/8.08
  6. Step 6: Final answer
    x = 16.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.