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Finding the Third Proportional to 381,309 and 814,962

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Solution

The third proportional to 381,309 and 814,962 is: 1,741,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,309 : 814,962 = 814,962 : x
  2. Step 2: Convert to fraction form
    381,309/814,962 = 814,962/x
  3. Step 3: Cross multiply
    381,309x = 814,962 × 814,962
  4. Step 4: Simplify right side
    381,309x = 664,163,061,444
  5. Step 5: Solve for x
    x = 664,163,061,444/381,309
  6. Step 6: Final answer
    x = 1,741,797.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.