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Finding the Third Proportional to 3,211.31 and 5,469.19

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Solution

The third proportional to 3,211.31 and 5,469.19 is: 9,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.31 : 5,469.19 = 5,469.19 : x
  2. Step 2: Convert to fraction form
    3,211.31/5,469.19 = 5,469.19/x
  3. Step 3: Cross multiply
    3,211.31x = 5,469.19 × 5,469.19
  4. Step 4: Simplify right side
    3,211.31x = 29,912,011.91
  5. Step 5: Solve for x
    x = 29,912,011.91/3,211.31
  6. Step 6: Final answer
    x = 9,314.58

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.