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Finding the Third Proportional to 11.25 and 16.75

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Solution

The third proportional to 11.25 and 16.75 is: 24.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.25 : 16.75 = 16.75 : x
  2. Step 2: Convert to fraction form
    11.25/16.75 = 16.75/x
  3. Step 3: Cross multiply
    11.25x = 16.75 × 16.75
  4. Step 4: Simplify right side
    11.25x = 280.56
  5. Step 5: Solve for x
    x = 280.56/11.25
  6. Step 6: Final answer
    x = 24.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.