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Finding the Third Proportional to 323,502 and 489,780

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Solution

The third proportional to 323,502 and 489,780 is: 741,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,502 : 489,780 = 489,780 : x
  2. Step 2: Convert to fraction form
    323,502/489,780 = 489,780/x
  3. Step 3: Cross multiply
    323,502x = 489,780 × 489,780
  4. Step 4: Simplify right side
    323,502x = 239,884,448,400
  5. Step 5: Solve for x
    x = 239,884,448,400/323,502
  6. Step 6: Final answer
    x = 741,523.85

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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.