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Finding the Third Proportional to 328,578 and 494,325

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Solution

The third proportional to 328,578 and 494,325 is: 743,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,578 : 494,325 = 494,325 : x
  2. Step 2: Convert to fraction form
    328,578/494,325 = 494,325/x
  3. Step 3: Cross multiply
    328,578x = 494,325 × 494,325
  4. Step 4: Simplify right side
    328,578x = 244,357,205,625
  5. Step 5: Solve for x
    x = 244,357,205,625/328,578
  6. Step 6: Final answer
    x = 743,680.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.