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Finding the Third Proportional to 3,964.50 and 9,375.75

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Solution

The third proportional to 3,964.50 and 9,375.75 is: 22,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.50 : 9,375.75 = 9,375.75 : x
  2. Step 2: Convert to fraction form
    3,964.50/9,375.75 = 9,375.75/x
  3. Step 3: Cross multiply
    3,964.50x = 9,375.75 × 9,375.75
  4. Step 4: Simplify right side
    3,964.50x = 87,904,688.06
  5. Step 5: Solve for x
    x = 87,904,688.06/3,964.50
  6. Step 6: Final answer
    x = 22,172.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.