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Finding the Third Proportional to 5,578.88 and 8,163.28

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Solution

The third proportional to 5,578.88 and 8,163.28 is: 11,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.88 : 8,163.28 = 8,163.28 : x
  2. Step 2: Convert to fraction form
    5,578.88/8,163.28 = 8,163.28/x
  3. Step 3: Cross multiply
    5,578.88x = 8,163.28 × 8,163.28
  4. Step 4: Simplify right side
    5,578.88x = 66,639,160.77
  5. Step 5: Solve for x
    x = 66,639,160.77/5,578.88
  6. Step 6: Final answer
    x = 11,944.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.