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Finding the Third Proportional to 394,445 and 851,169

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Solution

The third proportional to 394,445 and 851,169 is: 1,836,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,445 : 851,169 = 851,169 : x
  2. Step 2: Convert to fraction form
    394,445/851,169 = 851,169/x
  3. Step 3: Cross multiply
    394,445x = 851,169 × 851,169
  4. Step 4: Simplify right side
    394,445x = 724,488,666,561
  5. Step 5: Solve for x
    x = 724,488,666,561/394,445
  6. Step 6: Final answer
    x = 1,836,729.24

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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.