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Finding the Third Proportional to 11.09 and 16.89

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Solution

The third proportional to 11.09 and 16.89 is: 25.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.09 : 16.89 = 16.89 : x
  2. Step 2: Convert to fraction form
    11.09/16.89 = 16.89/x
  3. Step 3: Cross multiply
    11.09x = 16.89 × 16.89
  4. Step 4: Simplify right side
    11.09x = 285.36
  5. Step 5: Solve for x
    x = 285.36/11.09
  6. Step 6: Final answer
    x = 25.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.