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Finding the Third Proportional to 3,183.19 and 6,452.44

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Solution

The third proportional to 3,183.19 and 6,452.44 is: 13,079.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.19 : 6,452.44 = 6,452.44 : x
  2. Step 2: Convert to fraction form
    3,183.19/6,452.44 = 6,452.44/x
  3. Step 3: Cross multiply
    3,183.19x = 6,452.44 × 6,452.44
  4. Step 4: Simplify right side
    3,183.19x = 41,633,949.69
  5. Step 5: Solve for x
    x = 41,633,949.69/3,183.19
  6. Step 6: Final answer
    x = 13,079.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.