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Finding the Third Proportional to 381,384 and 822,744

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Solution

The third proportional to 381,384 and 822,744 is: 1,774,871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,384 : 822,744 = 822,744 : x
  2. Step 2: Convert to fraction form
    381,384/822,744 = 822,744/x
  3. Step 3: Cross multiply
    381,384x = 822,744 × 822,744
  4. Step 4: Simplify right side
    381,384x = 676,907,689,536
  5. Step 5: Solve for x
    x = 676,907,689,536/381,384
  6. Step 6: Final answer
    x = 1,774,871.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.