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Finding the Third Proportional to 381,366 and 828,340

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Solution

The third proportional to 381,366 and 828,340 is: 1,799,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,366 : 828,340 = 828,340 : x
  2. Step 2: Convert to fraction form
    381,366/828,340 = 828,340/x
  3. Step 3: Cross multiply
    381,366x = 828,340 × 828,340
  4. Step 4: Simplify right side
    381,366x = 686,147,155,600
  5. Step 5: Solve for x
    x = 686,147,155,600/381,366
  6. Step 6: Final answer
    x = 1,799,182.82

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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.