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Finding the Third Proportional to 260,377 and 394,939

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Solution

The third proportional to 260,377 and 394,939 is: 599,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,377 : 394,939 = 394,939 : x
  2. Step 2: Convert to fraction form
    260,377/394,939 = 394,939/x
  3. Step 3: Cross multiply
    260,377x = 394,939 × 394,939
  4. Step 4: Simplify right side
    260,377x = 155,976,813,721
  5. Step 5: Solve for x
    x = 155,976,813,721/260,377
  6. Step 6: Final answer
    x = 599,042.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.