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Finding the Third Proportional to 11.42 and 17.52

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Solution

The third proportional to 11.42 and 17.52 is: 26.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.42 : 17.52 = 17.52 : x
  2. Step 2: Convert to fraction form
    11.42/17.52 = 17.52/x
  3. Step 3: Cross multiply
    11.42x = 17.52 × 17.52
  4. Step 4: Simplify right side
    11.42x = 306.80
  5. Step 5: Solve for x
    x = 306.80/11.42
  6. Step 6: Final answer
    x = 26.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.