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Finding the Third Proportional to 3,879.50 and 8,381.50

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Solution

The third proportional to 3,879.50 and 8,381.50 is: 18,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.50 : 8,381.50 = 8,381.50 : x
  2. Step 2: Convert to fraction form
    3,879.50/8,381.50 = 8,381.50/x
  3. Step 3: Cross multiply
    3,879.50x = 8,381.50 × 8,381.50
  4. Step 4: Simplify right side
    3,879.50x = 70,249,542.25
  5. Step 5: Solve for x
    x = 70,249,542.25/3,879.50
  6. Step 6: Final answer
    x = 18,107.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.