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Finding the Third Proportional to 11.10 and 16.85

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Solution

The third proportional to 11.10 and 16.85 is: 25.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.10 : 16.85 = 16.85 : x
  2. Step 2: Convert to fraction form
    11.10/16.85 = 16.85/x
  3. Step 3: Cross multiply
    11.10x = 16.85 × 16.85
  4. Step 4: Simplify right side
    11.10x = 284.06
  5. Step 5: Solve for x
    x = 284.06/11.10
  6. Step 6: Final answer
    x = 25.59

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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.