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Finding the Third Proportional to 327.75 and 489.84

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Solution

The third proportional to 327.75 and 489.84 is: 732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.75 : 489.84 = 489.84 : x
  2. Step 2: Convert to fraction form
    327.75/489.84 = 489.84/x
  3. Step 3: Cross multiply
    327.75x = 489.84 × 489.84
  4. Step 4: Simplify right side
    327.75x = 239,946.90
  5. Step 5: Solve for x
    x = 239,946.90/327.75
  6. Step 6: Final answer
    x = 732.10

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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.