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Finding the Third Proportional to 271,789 and 639,503

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Solution

The third proportional to 271,789 and 639,503 is: 1,504,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,789 : 639,503 = 639,503 : x
  2. Step 2: Convert to fraction form
    271,789/639,503 = 639,503/x
  3. Step 3: Cross multiply
    271,789x = 639,503 × 639,503
  4. Step 4: Simplify right side
    271,789x = 408,964,087,009
  5. Step 5: Solve for x
    x = 408,964,087,009/271,789
  6. Step 6: Final answer
    x = 1,504,711.70

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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.