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Finding the Third Proportional to 381,558 and 828,723

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Solution

The third proportional to 381,558 and 828,723 is: 1,799,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,558 : 828,723 = 828,723 : x
  2. Step 2: Convert to fraction form
    381,558/828,723 = 828,723/x
  3. Step 3: Cross multiply
    381,558x = 828,723 × 828,723
  4. Step 4: Simplify right side
    381,558x = 686,781,810,729
  5. Step 5: Solve for x
    x = 686,781,810,729/381,558
  6. Step 6: Final answer
    x = 1,799,940.80

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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.