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Finding the Third Proportional to 419,463 and 629,244

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Solution

The third proportional to 419,463 and 629,244 is: 943,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,463 : 629,244 = 629,244 : x
  2. Step 2: Convert to fraction form
    419,463/629,244 = 629,244/x
  3. Step 3: Cross multiply
    419,463x = 629,244 × 629,244
  4. Step 4: Simplify right side
    419,463x = 395,948,011,536
  5. Step 5: Solve for x
    x = 395,948,011,536/419,463
  6. Step 6: Final answer
    x = 943,940.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.