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Finding the Third Proportional to 271,717 and 639,339

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Solution

The third proportional to 271,717 and 639,339 is: 1,504,338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,717 : 639,339 = 639,339 : x
  2. Step 2: Convert to fraction form
    271,717/639,339 = 639,339/x
  3. Step 3: Cross multiply
    271,717x = 639,339 × 639,339
  4. Step 4: Simplify right side
    271,717x = 408,754,356,921
  5. Step 5: Solve for x
    x = 408,754,356,921/271,717
  6. Step 6: Final answer
    x = 1,504,338.55

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