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Finding the Third Proportional to 11 and 27.25

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Solution

The third proportional to 11 and 27.25 is: 67.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11 : 27.25 = 27.25 : x
  2. Step 2: Convert to fraction form
    11/27.25 = 27.25/x
  3. Step 3: Cross multiply
    11x = 27.25 × 27.25
  4. Step 4: Simplify right side
    11x = 742.56
  5. Step 5: Solve for x
    x = 742.56/11
  6. Step 6: Final answer
    x = 67.51

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.