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Finding the Third Proportional to 207,013 and 422,734

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Solution

The third proportional to 207,013 and 422,734 is: 863,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,013 : 422,734 = 422,734 : x
  2. Step 2: Convert to fraction form
    207,013/422,734 = 422,734/x
  3. Step 3: Cross multiply
    207,013x = 422,734 × 422,734
  4. Step 4: Simplify right side
    207,013x = 178,704,034,756
  5. Step 5: Solve for x
    x = 178,704,034,756/207,013
  6. Step 6: Final answer
    x = 863,250.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.