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Finding the Third Proportional to 419,470 and 629,253

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Solution

The third proportional to 419,470 and 629,253 is: 943,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,470 : 629,253 = 629,253 : x
  2. Step 2: Convert to fraction form
    419,470/629,253 = 629,253/x
  3. Step 3: Cross multiply
    419,470x = 629,253 × 629,253
  4. Step 4: Simplify right side
    419,470x = 395,959,338,009
  5. Step 5: Solve for x
    x = 395,959,338,009/419,470
  6. Step 6: Final answer
    x = 943,951.51

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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.