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Finding the Third Proportional to 394,447 and 851,173

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Solution

The third proportional to 394,447 and 851,173 is: 1,836,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,447 : 851,173 = 851,173 : x
  2. Step 2: Convert to fraction form
    394,447/851,173 = 851,173/x
  3. Step 3: Cross multiply
    394,447x = 851,173 × 851,173
  4. Step 4: Simplify right side
    394,447x = 724,495,475,929
  5. Step 5: Solve for x
    x = 724,495,475,929/394,447
  6. Step 6: Final answer
    x = 1,836,737.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.