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Finding the Third Proportional to 7,879 and 12,694

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Solution

The third proportional to 7,879 and 12,694 is: 20,451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879 : 12,694 = 12,694 : x
  2. Step 2: Convert to fraction form
    7,879/12,694 = 12,694/x
  3. Step 3: Cross multiply
    7,879x = 12,694 × 12,694
  4. Step 4: Simplify right side
    7,879x = 161,137,636
  5. Step 5: Solve for x
    x = 161,137,636/7,879
  6. Step 6: Final answer
    x = 20,451.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.