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Finding the Third Proportional to 18.73 and 26.87

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Solution

The third proportional to 18.73 and 26.87 is: 38.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.73 : 26.87 = 26.87 : x
  2. Step 2: Convert to fraction form
    18.73/26.87 = 26.87/x
  3. Step 3: Cross multiply
    18.73x = 26.87 × 26.87
  4. Step 4: Simplify right side
    18.73x = 721.85
  5. Step 5: Solve for x
    x = 721.85/18.73
  6. Step 6: Final answer
    x = 38.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.