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Finding the Third Proportional to 381,466 and 828,478

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Solution

The third proportional to 381,466 and 828,478 is: 1,799,310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,466 : 828,478 = 828,478 : x
  2. Step 2: Convert to fraction form
    381,466/828,478 = 828,478/x
  3. Step 3: Cross multiply
    381,466x = 828,478 × 828,478
  4. Step 4: Simplify right side
    381,466x = 686,375,796,484
  5. Step 5: Solve for x
    x = 686,375,796,484/381,466
  6. Step 6: Final answer
    x = 1,799,310.55

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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.