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Finding the Third Proportional to 3,879.77 and 5,819.98

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Solution

The third proportional to 3,879.77 and 5,819.98 is: 8,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.77 : 5,819.98 = 5,819.98 : x
  2. Step 2: Convert to fraction form
    3,879.77/5,819.98 = 5,819.98/x
  3. Step 3: Cross multiply
    3,879.77x = 5,819.98 × 5,819.98
  4. Step 4: Simplify right side
    3,879.77x = 33,872,127.19
  5. Step 5: Solve for x
    x = 33,872,127.19/3,879.77
  6. Step 6: Final answer
    x = 8,730.44

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Why These Related Problems?

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