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Finding the Third Proportional to 257,764 and 394,350

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Solution

The third proportional to 257,764 and 394,350 is: 603,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,764 : 394,350 = 394,350 : x
  2. Step 2: Convert to fraction form
    257,764/394,350 = 394,350/x
  3. Step 3: Cross multiply
    257,764x = 394,350 × 394,350
  4. Step 4: Simplify right side
    257,764x = 155,511,922,500
  5. Step 5: Solve for x
    x = 155,511,922,500/257,764
  6. Step 6: Final answer
    x = 603,311.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.