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Finding the Third Proportional to 219,446 and 327,731

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Solution

The third proportional to 219,446 and 327,731 is: 489,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,446 : 327,731 = 327,731 : x
  2. Step 2: Convert to fraction form
    219,446/327,731 = 327,731/x
  3. Step 3: Cross multiply
    219,446x = 327,731 × 327,731
  4. Step 4: Simplify right side
    219,446x = 107,407,608,361
  5. Step 5: Solve for x
    x = 107,407,608,361/219,446
  6. Step 6: Final answer
    x = 489,448.92

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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.