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Finding the Third Proportional to 399,660 and 836,268

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Solution

The third proportional to 399,660 and 836,268 is: 1,749,847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,660 : 836,268 = 836,268 : x
  2. Step 2: Convert to fraction form
    399,660/836,268 = 836,268/x
  3. Step 3: Cross multiply
    399,660x = 836,268 × 836,268
  4. Step 4: Simplify right side
    399,660x = 699,344,167,824
  5. Step 5: Solve for x
    x = 699,344,167,824/399,660
  6. Step 6: Final answer
    x = 1,749,847.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.