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Finding the Third Proportional to 12,919 and 18,193

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Solution

The third proportional to 12,919 and 18,193 is: 25,620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,919 : 18,193 = 18,193 : x
  2. Step 2: Convert to fraction form
    12,919/18,193 = 18,193/x
  3. Step 3: Cross multiply
    12,919x = 18,193 × 18,193
  4. Step 4: Simplify right side
    12,919x = 330,985,249
  5. Step 5: Solve for x
    x = 330,985,249/12,919
  6. Step 6: Final answer
    x = 25,620.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.