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Finding the Third Proportional to 259,622 and 394,305

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Solution

The third proportional to 259,622 and 394,305 is: 598,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,622 : 394,305 = 394,305 : x
  2. Step 2: Convert to fraction form
    259,622/394,305 = 394,305/x
  3. Step 3: Cross multiply
    259,622x = 394,305 × 394,305
  4. Step 4: Simplify right side
    259,622x = 155,476,433,025
  5. Step 5: Solve for x
    x = 155,476,433,025/259,622
  6. Step 6: Final answer
    x = 598,856.93

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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.