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Finding the Third Proportional to 422,568 and 880,218

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Solution

The third proportional to 422,568 and 880,218 is: 1,833,512.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,568 : 880,218 = 880,218 : x
  2. Step 2: Convert to fraction form
    422,568/880,218 = 880,218/x
  3. Step 3: Cross multiply
    422,568x = 880,218 × 880,218
  4. Step 4: Simplify right side
    422,568x = 774,783,727,524
  5. Step 5: Solve for x
    x = 774,783,727,524/422,568
  6. Step 6: Final answer
    x = 1,833,512.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.