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Finding the Third Proportional to 278,969 and 405,493

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Solution

The third proportional to 278,969 and 405,493 is: 589,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,969 : 405,493 = 405,493 : x
  2. Step 2: Convert to fraction form
    278,969/405,493 = 405,493/x
  3. Step 3: Cross multiply
    278,969x = 405,493 × 405,493
  4. Step 4: Simplify right side
    278,969x = 164,424,573,049
  5. Step 5: Solve for x
    x = 164,424,573,049/278,969
  6. Step 6: Final answer
    x = 589,400.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.