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Finding the Third Proportional to 323,578 and 489,894

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Solution

The third proportional to 323,578 and 489,894 is: 741,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,578 : 489,894 = 489,894 : x
  2. Step 2: Convert to fraction form
    323,578/489,894 = 489,894/x
  3. Step 3: Cross multiply
    323,578x = 489,894 × 489,894
  4. Step 4: Simplify right side
    323,578x = 239,996,131,236
  5. Step 5: Solve for x
    x = 239,996,131,236/323,578
  6. Step 6: Final answer
    x = 741,694.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.