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Finding the Third Proportional to 381,493 and 589,775

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Solution

The third proportional to 381,493 and 589,775 is: 911,771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,493 : 589,775 = 589,775 : x
  2. Step 2: Convert to fraction form
    381,493/589,775 = 589,775/x
  3. Step 3: Cross multiply
    381,493x = 589,775 × 589,775
  4. Step 4: Simplify right side
    381,493x = 347,834,550,625
  5. Step 5: Solve for x
    x = 347,834,550,625/381,493
  6. Step 6: Final answer
    x = 911,771.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.