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Finding the Third Proportional to 271,918 and 413,634

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Solution

The third proportional to 271,918 and 413,634 is: 629,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,918 : 413,634 = 413,634 : x
  2. Step 2: Convert to fraction form
    271,918/413,634 = 413,634/x
  3. Step 3: Cross multiply
    271,918x = 413,634 × 413,634
  4. Step 4: Simplify right side
    271,918x = 171,093,085,956
  5. Step 5: Solve for x
    x = 171,093,085,956/271,918
  6. Step 6: Final answer
    x = 629,208.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.