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Finding the Third Proportional to 259,350 and 394,355

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Solution

The third proportional to 259,350 and 394,355 is: 599,637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,350 : 394,355 = 394,355 : x
  2. Step 2: Convert to fraction form
    259,350/394,355 = 394,355/x
  3. Step 3: Cross multiply
    259,350x = 394,355 × 394,355
  4. Step 4: Simplify right side
    259,350x = 155,515,866,025
  5. Step 5: Solve for x
    x = 155,515,866,025/259,350
  6. Step 6: Final answer
    x = 599,637.04

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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.