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Finding the Third Proportional to 381,361 and 821,098

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Solution

The third proportional to 381,361 and 821,098 is: 1,767,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,361 : 821,098 = 821,098 : x
  2. Step 2: Convert to fraction form
    381,361/821,098 = 821,098/x
  3. Step 3: Cross multiply
    381,361x = 821,098 × 821,098
  4. Step 4: Simplify right side
    381,361x = 674,201,925,604
  5. Step 5: Solve for x
    x = 674,201,925,604/381,361
  6. Step 6: Final answer
    x = 1,767,883.78

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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.