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Finding the Third Proportional to 259,614 and 394,293

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Solution

The third proportional to 259,614 and 394,293 is: 598,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,614 : 394,293 = 394,293 : x
  2. Step 2: Convert to fraction form
    259,614/394,293 = 394,293/x
  3. Step 3: Cross multiply
    259,614x = 394,293 × 394,293
  4. Step 4: Simplify right side
    259,614x = 155,466,969,849
  5. Step 5: Solve for x
    x = 155,466,969,849/259,614
  6. Step 6: Final answer
    x = 598,838.93

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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.