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Finding the Third Proportional to 3,867.75 and 8,163.28

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Solution

The third proportional to 3,867.75 and 8,163.28 is: 17,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.75 : 8,163.28 = 8,163.28 : x
  2. Step 2: Convert to fraction form
    3,867.75/8,163.28 = 8,163.28/x
  3. Step 3: Cross multiply
    3,867.75x = 8,163.28 × 8,163.28
  4. Step 4: Simplify right side
    3,867.75x = 66,639,160.77
  5. Step 5: Solve for x
    x = 66,639,160.77/3,867.75
  6. Step 6: Final answer
    x = 17,229.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.