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Finding the Third Proportional to 8,163.28 and 12,213.28

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Solution

The third proportional to 8,163.28 and 12,213.28 is: 18,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.28 : 12,213.28 = 12,213.28 : x
  2. Step 2: Convert to fraction form
    8,163.28/12,213.28 = 12,213.28/x
  3. Step 3: Cross multiply
    8,163.28x = 12,213.28 × 12,213.28
  4. Step 4: Simplify right side
    8,163.28x = 149,164,238.89
  5. Step 5: Solve for x
    x = 149,164,238.89/8,163.28
  6. Step 6: Final answer
    x = 18,272.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.