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Finding the Third Proportional to 419,256 and 629,172

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Solution

The third proportional to 419,256 and 629,172 is: 944,190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,256 : 629,172 = 629,172 : x
  2. Step 2: Convert to fraction form
    419,256/629,172 = 629,172/x
  3. Step 3: Cross multiply
    419,256x = 629,172 × 629,172
  4. Step 4: Simplify right side
    419,256x = 395,857,405,584
  5. Step 5: Solve for x
    x = 395,857,405,584/419,256
  6. Step 6: Final answer
    x = 944,190.20

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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.