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Finding the Third Proportional to 422,361 and 851,634

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Solution

The third proportional to 422,361 and 851,634 is: 1,717,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,361 : 851,634 = 851,634 : x
  2. Step 2: Convert to fraction form
    422,361/851,634 = 851,634/x
  3. Step 3: Cross multiply
    422,361x = 851,634 × 851,634
  4. Step 4: Simplify right side
    422,361x = 725,280,469,956
  5. Step 5: Solve for x
    x = 725,280,469,956/422,361
  6. Step 6: Final answer
    x = 1,717,205.12

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.