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Finding the Third Proportional to 3.29 and 6.85

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Solution

The third proportional to 3.29 and 6.85 is: 14.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.29 : 6.85 = 6.85 : x
  2. Step 2: Convert to fraction form
    3.29/6.85 = 6.85/x
  3. Step 3: Cross multiply
    3.29x = 6.85 × 6.85
  4. Step 4: Simplify right side
    3.29x = 46.95
  5. Step 5: Solve for x
    x = 46.95/3.29
  6. Step 6: Final answer
    x = 14.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.