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Finding the Third Proportional to 257,566 and 394,004

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Solution

The third proportional to 257,566 and 394,004 is: 602,716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,566 : 394,004 = 394,004 : x
  2. Step 2: Convert to fraction form
    257,566/394,004 = 394,004/x
  3. Step 3: Cross multiply
    257,566x = 394,004 × 394,004
  4. Step 4: Simplify right side
    257,566x = 155,239,152,016
  5. Step 5: Solve for x
    x = 155,239,152,016/257,566
  6. Step 6: Final answer
    x = 602,716.01

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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.