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Finding the Third Proportional to 323,334.50 and 489,474.50

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Solution

The third proportional to 323,334.50 and 489,474.50 is: 740,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,334.50 : 489,474.50 = 489,474.50 : x
  2. Step 2: Convert to fraction form
    323,334.50/489,474.50 = 489,474.50/x
  3. Step 3: Cross multiply
    323,334.50x = 489,474.50 × 489,474.50
  4. Step 4: Simplify right side
    323,334.50x = 239,585,286,150.25
  5. Step 5: Solve for x
    x = 239,585,286,150.25/323,334.50
  6. Step 6: Final answer
    x = 740,982.75

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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.