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Finding the Third Proportional to 3,375.75 and 7,421.25

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Solution

The third proportional to 3,375.75 and 7,421.25 is: 16,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.75 : 7,421.25 = 7,421.25 : x
  2. Step 2: Convert to fraction form
    3,375.75/7,421.25 = 7,421.25/x
  3. Step 3: Cross multiply
    3,375.75x = 7,421.25 × 7,421.25
  4. Step 4: Simplify right side
    3,375.75x = 55,074,951.56
  5. Step 5: Solve for x
    x = 55,074,951.56/3,375.75
  6. Step 6: Final answer
    x = 16,314.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.