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Finding the Third Proportional to 257,595 and 394,063

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Solution

The third proportional to 257,595 and 394,063 is: 602,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,595 : 394,063 = 394,063 : x
  2. Step 2: Convert to fraction form
    257,595/394,063 = 394,063/x
  3. Step 3: Cross multiply
    257,595x = 394,063 × 394,063
  4. Step 4: Simplify right side
    257,595x = 155,285,647,969
  5. Step 5: Solve for x
    x = 155,285,647,969/257,595
  6. Step 6: Final answer
    x = 602,828.66

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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.