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Finding the Third Proportional to 11.09 and 14.86

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Solution

The third proportional to 11.09 and 14.86 is: 19.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.09 : 14.86 = 14.86 : x
  2. Step 2: Convert to fraction form
    11.09/14.86 = 14.86/x
  3. Step 3: Cross multiply
    11.09x = 14.86 × 14.86
  4. Step 4: Simplify right side
    11.09x = 220.80
  5. Step 5: Solve for x
    x = 220.80/11.09
  6. Step 6: Final answer
    x = 19.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.