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Finding the Third Proportional to 419,494 and 629,285

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Solution

The third proportional to 419,494 and 629,285 is: 943,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,494 : 629,285 = 629,285 : x
  2. Step 2: Convert to fraction form
    419,494/629,285 = 629,285/x
  3. Step 3: Cross multiply
    419,494x = 629,285 × 629,285
  4. Step 4: Simplify right side
    419,494x = 395,999,611,225
  5. Step 5: Solve for x
    x = 395,999,611,225/419,494
  6. Step 6: Final answer
    x = 943,993.50

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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.