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Finding the Third Proportional to 274,162 and 419,019

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Solution

The third proportional to 274,162 and 419,019 is: 640,413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,162 : 419,019 = 419,019 : x
  2. Step 2: Convert to fraction form
    274,162/419,019 = 419,019/x
  3. Step 3: Cross multiply
    274,162x = 419,019 × 419,019
  4. Step 4: Simplify right side
    274,162x = 175,576,922,361
  5. Step 5: Solve for x
    x = 175,576,922,361/274,162
  6. Step 6: Final answer
    x = 640,413.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.