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Finding the Third Proportional to 323,573 and 489,884

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Solution

The third proportional to 323,573 and 489,884 is: 741,676.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,573 : 489,884 = 489,884 : x
  2. Step 2: Convert to fraction form
    323,573/489,884 = 489,884/x
  3. Step 3: Cross multiply
    323,573x = 489,884 × 489,884
  4. Step 4: Simplify right side
    323,573x = 239,986,333,456
  5. Step 5: Solve for x
    x = 239,986,333,456/323,573
  6. Step 6: Final answer
    x = 741,676.02

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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.