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Finding the Third Proportional to 18.27 and 39.73

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Solution

The third proportional to 18.27 and 39.73 is: 86.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.27 : 39.73 = 39.73 : x
  2. Step 2: Convert to fraction form
    18.27/39.73 = 39.73/x
  3. Step 3: Cross multiply
    18.27x = 39.73 × 39.73
  4. Step 4: Simplify right side
    18.27x = 1,578.77
  5. Step 5: Solve for x
    x = 1,578.77/18.27
  6. Step 6: Final answer
    x = 86.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.