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Finding the Third Proportional to 419,717 and 667,504

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Solution

The third proportional to 419,717 and 667,504 is: 1,061,576.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,717 : 667,504 = 667,504 : x
  2. Step 2: Convert to fraction form
    419,717/667,504 = 667,504/x
  3. Step 3: Cross multiply
    419,717x = 667,504 × 667,504
  4. Step 4: Simplify right side
    419,717x = 445,561,590,016
  5. Step 5: Solve for x
    x = 445,561,590,016/419,717
  6. Step 6: Final answer
    x = 1,061,576.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.