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Finding the Third Proportional to 219,435 and 327,717

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Solution

The third proportional to 219,435 and 327,717 is: 489,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,435 : 327,717 = 327,717 : x
  2. Step 2: Convert to fraction form
    219,435/327,717 = 327,717/x
  3. Step 3: Cross multiply
    219,435x = 327,717 × 327,717
  4. Step 4: Simplify right side
    219,435x = 107,398,432,089
  5. Step 5: Solve for x
    x = 107,398,432,089/219,435
  6. Step 6: Final answer
    x = 489,431.64

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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.