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Finding the Third Proportional to 399,652 and 836,252

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Solution

The third proportional to 399,652 and 836,252 is: 1,749,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,652 : 836,252 = 836,252 : x
  2. Step 2: Convert to fraction form
    399,652/836,252 = 836,252/x
  3. Step 3: Cross multiply
    399,652x = 836,252 × 836,252
  4. Step 4: Simplify right side
    399,652x = 699,317,407,504
  5. Step 5: Solve for x
    x = 699,317,407,504/399,652
  6. Step 6: Final answer
    x = 1,749,815.86

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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.