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Finding the Third Proportional to 257,596 and 394,043

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Solution

The third proportional to 257,596 and 394,043 is: 602,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,596 : 394,043 = 394,043 : x
  2. Step 2: Convert to fraction form
    257,596/394,043 = 394,043/x
  3. Step 3: Cross multiply
    257,596x = 394,043 × 394,043
  4. Step 4: Simplify right side
    257,596x = 155,269,885,849
  5. Step 5: Solve for x
    x = 155,269,885,849/257,596
  6. Step 6: Final answer
    x = 602,765.13

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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.