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Finding the Third Proportional to 8,381,100 and 18,408,192

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Solution

The third proportional to 8,381,100 and 18,408,192 is: 40,431,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381,100 : 18,408,192 = 18,408,192 : x
  2. Step 2: Convert to fraction form
    8,381,100/18,408,192 = 18,408,192/x
  3. Step 3: Cross multiply
    8,381,100x = 18,408,192 × 18,408,192
  4. Step 4: Simplify right side
    8,381,100x = 338,861,532,708,864
  5. Step 5: Solve for x
    x = 338,861,532,708,864/8,381,100
  6. Step 6: Final answer
    x = 40,431,629.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.