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Finding the Third Proportional to 261,968 and 394,249

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Solution

The third proportional to 261,968 and 394,249 is: 593,325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,968 : 394,249 = 394,249 : x
  2. Step 2: Convert to fraction form
    261,968/394,249 = 394,249/x
  3. Step 3: Cross multiply
    261,968x = 394,249 × 394,249
  4. Step 4: Simplify right side
    261,968x = 155,432,274,001
  5. Step 5: Solve for x
    x = 155,432,274,001/261,968
  6. Step 6: Final answer
    x = 593,325.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.