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Finding the Third Proportional to 3,831 and 8,379.75

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Solution

The third proportional to 3,831 and 8,379.75 is: 18,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831 : 8,379.75 = 8,379.75 : x
  2. Step 2: Convert to fraction form
    3,831/8,379.75 = 8,379.75/x
  3. Step 3: Cross multiply
    3,831x = 8,379.75 × 8,379.75
  4. Step 4: Simplify right side
    3,831x = 70,220,210.06
  5. Step 5: Solve for x
    x = 70,220,210.06/3,831
  6. Step 6: Final answer
    x = 18,329.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.