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Finding the Third Proportional to 381,368 and 828,344

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Solution

The third proportional to 381,368 and 828,344 is: 1,799,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,368 : 828,344 = 828,344 : x
  2. Step 2: Convert to fraction form
    381,368/828,344 = 828,344/x
  3. Step 3: Cross multiply
    381,368x = 828,344 × 828,344
  4. Step 4: Simplify right side
    381,368x = 686,153,782,336
  5. Step 5: Solve for x
    x = 686,153,782,336/381,368
  6. Step 6: Final answer
    x = 1,799,190.76

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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.