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Finding the Third Proportional to 219,439 and 327,723

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Solution

The third proportional to 219,439 and 327,723 is: 489,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,439 : 327,723 = 327,723 : x
  2. Step 2: Convert to fraction form
    219,439/327,723 = 327,723/x
  3. Step 3: Cross multiply
    219,439x = 327,723 × 327,723
  4. Step 4: Simplify right side
    219,439x = 107,402,364,729
  5. Step 5: Solve for x
    x = 107,402,364,729/219,439
  6. Step 6: Final answer
    x = 489,440.64

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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.