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Finding the Third Proportional to 327,450 and 489,153

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Solution

The third proportional to 327,450 and 489,153 is: 730,708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,450 : 489,153 = 489,153 : x
  2. Step 2: Convert to fraction form
    327,450/489,153 = 489,153/x
  3. Step 3: Cross multiply
    327,450x = 489,153 × 489,153
  4. Step 4: Simplify right side
    327,450x = 239,270,657,409
  5. Step 5: Solve for x
    x = 239,270,657,409/327,450
  6. Step 6: Final answer
    x = 730,708.99

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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.