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Finding the Third Proportional to 17.85 and 43.24

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Solution

The third proportional to 17.85 and 43.24 is: 104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.85 : 43.24 = 43.24 : x
  2. Step 2: Convert to fraction form
    17.85/43.24 = 43.24/x
  3. Step 3: Cross multiply
    17.85x = 43.24 × 43.24
  4. Step 4: Simplify right side
    17.85x = 1,870.05
  5. Step 5: Solve for x
    x = 1,870.05/17.85
  6. Step 6: Final answer
    x = 104.78

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.