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Finding the Third Proportional to 219,388.50 and 327,647.53

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Solution

The third proportional to 219,388.50 and 327,647.53 is: 489,327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,388.50 : 327,647.53 = 327,647.53 : x
  2. Step 2: Convert to fraction form
    219,388.50/327,647.53 = 327,647.53/x
  3. Step 3: Cross multiply
    219,388.50x = 327,647.53 × 327,647.53
  4. Step 4: Simplify right side
    219,388.50x = 107,352,904,734.22
  5. Step 5: Solve for x
    x = 107,352,904,734.22/219,388.50
  6. Step 6: Final answer
    x = 489,327.86

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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.