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Finding the Third Proportional to 381,463 and 828,472

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Solution

The third proportional to 381,463 and 828,472 is: 1,799,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,463 : 828,472 = 828,472 : x
  2. Step 2: Convert to fraction form
    381,463/828,472 = 828,472/x
  3. Step 3: Cross multiply
    381,463x = 828,472 × 828,472
  4. Step 4: Simplify right side
    381,463x = 686,365,854,784
  5. Step 5: Solve for x
    x = 686,365,854,784/381,463
  6. Step 6: Final answer
    x = 1,799,298.63

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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.