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Finding the Third Proportional to 330.06 and 489.97

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Solution

The third proportional to 330.06 and 489.97 is: 727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.06 : 489.97 = 489.97 : x
  2. Step 2: Convert to fraction form
    330.06/489.97 = 489.97/x
  3. Step 3: Cross multiply
    330.06x = 489.97 × 489.97
  4. Step 4: Simplify right side
    330.06x = 240,069.38
  5. Step 5: Solve for x
    x = 240,069.38/330.06
  6. Step 6: Final answer
    x = 727.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.