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Finding the Third Proportional to 271,740 and 639,393

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Solution

The third proportional to 271,740 and 639,393 is: 1,504,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,740 : 639,393 = 639,393 : x
  2. Step 2: Convert to fraction form
    271,740/639,393 = 639,393/x
  3. Step 3: Cross multiply
    271,740x = 639,393 × 639,393
  4. Step 4: Simplify right side
    271,740x = 408,823,408,449
  5. Step 5: Solve for x
    x = 408,823,408,449/271,740
  6. Step 6: Final answer
    x = 1,504,465.33

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.