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Finding the Third Proportional to 381,206 and 828,812

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Solution

The third proportional to 381,206 and 828,812 is: 1,801,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,206 : 828,812 = 828,812 : x
  2. Step 2: Convert to fraction form
    381,206/828,812 = 828,812/x
  3. Step 3: Cross multiply
    381,206x = 828,812 × 828,812
  4. Step 4: Simplify right side
    381,206x = 686,929,331,344
  5. Step 5: Solve for x
    x = 686,929,331,344/381,206
  6. Step 6: Final answer
    x = 1,801,989.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.