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Finding the Third Proportional to 381,470 and 828,486

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Solution

The third proportional to 381,470 and 828,486 is: 1,799,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,470 : 828,486 = 828,486 : x
  2. Step 2: Convert to fraction form
    381,470/828,486 = 828,486/x
  3. Step 3: Cross multiply
    381,470x = 828,486 × 828,486
  4. Step 4: Simplify right side
    381,470x = 686,389,052,196
  5. Step 5: Solve for x
    x = 686,389,052,196/381,470
  6. Step 6: Final answer
    x = 1,799,326.43

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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.