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Finding the Third Proportional to 376,885 and 820,194

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Solution

The third proportional to 376,885 and 820,194 is: 1,784,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,885 : 820,194 = 820,194 : x
  2. Step 2: Convert to fraction form
    376,885/820,194 = 820,194/x
  3. Step 3: Cross multiply
    376,885x = 820,194 × 820,194
  4. Step 4: Simplify right side
    376,885x = 672,718,197,636
  5. Step 5: Solve for x
    x = 672,718,197,636/376,885
  6. Step 6: Final answer
    x = 1,784,942.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.