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Finding the Third Proportional to 3.85 and 17.32

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Solution

The third proportional to 3.85 and 17.32 is: 77.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.85 : 17.32 = 17.32 : x
  2. Step 2: Convert to fraction form
    3.85/17.32 = 17.32/x
  3. Step 3: Cross multiply
    3.85x = 17.32 × 17.32
  4. Step 4: Simplify right side
    3.85x = 299.95
  5. Step 5: Solve for x
    x = 299.95/3.85
  6. Step 6: Final answer
    x = 77.94

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Why These Related Problems?

These problems maintain the same ratio (4.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.