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Finding the Third Proportional to 271,917 and 629,400.38

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Solution

The third proportional to 271,917 and 629,400.38 is: 1,456,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,917 : 629,400.38 = 629,400.38 : x
  2. Step 2: Convert to fraction form
    271,917/629,400.38 = 629,400.38/x
  3. Step 3: Cross multiply
    271,917x = 629,400.38 × 629,400.38
  4. Step 4: Simplify right side
    271,917x = 396,144,832,050.14
  5. Step 5: Solve for x
    x = 396,144,832,050.14/271,917
  6. Step 6: Final answer
    x = 1,456,859.38

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.