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Finding the Third Proportional to 381,558 and 822,162

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Solution

The third proportional to 381,558 and 822,162 is: 1,771,553.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,558 : 822,162 = 822,162 : x
  2. Step 2: Convert to fraction form
    381,558/822,162 = 822,162/x
  3. Step 3: Cross multiply
    381,558x = 822,162 × 822,162
  4. Step 4: Simplify right side
    381,558x = 675,950,354,244
  5. Step 5: Solve for x
    x = 675,950,354,244/381,558
  6. Step 6: Final answer
    x = 1,771,553.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.