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Finding the Third Proportional to 381,560 and 828,727

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Solution

The third proportional to 381,560 and 828,727 is: 1,799,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,560 : 828,727 = 828,727 : x
  2. Step 2: Convert to fraction form
    381,560/828,727 = 828,727/x
  3. Step 3: Cross multiply
    381,560x = 828,727 × 828,727
  4. Step 4: Simplify right side
    381,560x = 686,788,440,529
  5. Step 5: Solve for x
    x = 686,788,440,529/381,560
  6. Step 6: Final answer
    x = 1,799,948.74

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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.