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Finding the Third Proportional to 13.73 and 17.85

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Solution

The third proportional to 13.73 and 17.85 is: 23.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.73 : 17.85 = 17.85 : x
  2. Step 2: Convert to fraction form
    13.73/17.85 = 17.85/x
  3. Step 3: Cross multiply
    13.73x = 17.85 × 17.85
  4. Step 4: Simplify right side
    13.73x = 318.51
  5. Step 5: Solve for x
    x = 318.51/13.73
  6. Step 6: Final answer
    x = 23.20

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.