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Finding the Third Proportional to 18.47 and 25.73

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Solution

The third proportional to 18.47 and 25.73 is: 35.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.47 : 25.73 = 25.73 : x
  2. Step 2: Convert to fraction form
    18.47/25.73 = 25.73/x
  3. Step 3: Cross multiply
    18.47x = 25.73 × 25.73
  4. Step 4: Simplify right side
    18.47x = 662.26
  5. Step 5: Solve for x
    x = 662.26/18.47
  6. Step 6: Final answer
    x = 35.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.