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Finding the Third Proportional to 219,500 and 327,950

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Solution

The third proportional to 219,500 and 327,950 is: 489,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,500 : 327,950 = 327,950 : x
  2. Step 2: Convert to fraction form
    219,500/327,950 = 327,950/x
  3. Step 3: Cross multiply
    219,500x = 327,950 × 327,950
  4. Step 4: Simplify right side
    219,500x = 107,551,202,500
  5. Step 5: Solve for x
    x = 107,551,202,500/219,500
  6. Step 6: Final answer
    x = 489,982.70

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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.