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Finding the Third Proportional to 3,830 and 8,879

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Solution

The third proportional to 3,830 and 8,879 is: 20,583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830 : 8,879 = 8,879 : x
  2. Step 2: Convert to fraction form
    3,830/8,879 = 8,879/x
  3. Step 3: Cross multiply
    3,830x = 8,879 × 8,879
  4. Step 4: Simplify right side
    3,830x = 78,836,641
  5. Step 5: Solve for x
    x = 78,836,641/3,830
  6. Step 6: Final answer
    x = 20,583.98

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.