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Finding the Third Proportional to 4,147 and 8,879

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Solution

The third proportional to 4,147 and 8,879 is: 19,010.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147 : 8,879 = 8,879 : x
  2. Step 2: Convert to fraction form
    4,147/8,879 = 8,879/x
  3. Step 3: Cross multiply
    4,147x = 8,879 × 8,879
  4. Step 4: Simplify right side
    4,147x = 78,836,641
  5. Step 5: Solve for x
    x = 78,836,641/4,147
  6. Step 6: Final answer
    x = 19,010.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.