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Finding the Third Proportional to 381,562 and 828,731

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Solution

The third proportional to 381,562 and 828,731 is: 1,799,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,562 : 828,731 = 828,731 : x
  2. Step 2: Convert to fraction form
    381,562/828,731 = 828,731/x
  3. Step 3: Cross multiply
    381,562x = 828,731 × 828,731
  4. Step 4: Simplify right side
    381,562x = 686,795,070,361
  5. Step 5: Solve for x
    x = 686,795,070,361/381,562
  6. Step 6: Final answer
    x = 1,799,956.68

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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.