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Finding the Third Proportional to 17.72 and 38.92

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Solution

The third proportional to 17.72 and 38.92 is: 85.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.72 : 38.92 = 38.92 : x
  2. Step 2: Convert to fraction form
    17.72/38.92 = 38.92/x
  3. Step 3: Cross multiply
    17.72x = 38.92 × 38.92
  4. Step 4: Simplify right side
    17.72x = 1,514.61
  5. Step 5: Solve for x
    x = 1,514.61/17.72
  6. Step 6: Final answer
    x = 85.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.