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Finding the Third Proportional to 327,498 and 489,219

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Solution

The third proportional to 327,498 and 489,219 is: 730,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,498 : 489,219 = 489,219 : x
  2. Step 2: Convert to fraction form
    327,498/489,219 = 489,219/x
  3. Step 3: Cross multiply
    327,498x = 489,219 × 489,219
  4. Step 4: Simplify right side
    327,498x = 239,335,229,961
  5. Step 5: Solve for x
    x = 239,335,229,961/327,498
  6. Step 6: Final answer
    x = 730,799.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.