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Finding the Third Proportional to 261,625 and 394,355

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Solution

The third proportional to 261,625 and 394,355 is: 594,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,625 : 394,355 = 394,355 : x
  2. Step 2: Convert to fraction form
    261,625/394,355 = 394,355/x
  3. Step 3: Cross multiply
    261,625x = 394,355 × 394,355
  4. Step 4: Simplify right side
    261,625x = 155,515,866,025
  5. Step 5: Solve for x
    x = 155,515,866,025/261,625
  6. Step 6: Final answer
    x = 594,422.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.