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Finding the Third Proportional to 419,625 and 905,589

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Solution

The third proportional to 419,625 and 905,589 is: 1,954,343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,625 : 905,589 = 905,589 : x
  2. Step 2: Convert to fraction form
    419,625/905,589 = 905,589/x
  3. Step 3: Cross multiply
    419,625x = 905,589 × 905,589
  4. Step 4: Simplify right side
    419,625x = 820,091,436,921
  5. Step 5: Solve for x
    x = 820,091,436,921/419,625
  6. Step 6: Final answer
    x = 1,954,343.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.