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Finding the Third Proportional to 257,382 and 396,057

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Solution

The third proportional to 257,382 and 396,057 is: 609,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,382 : 396,057 = 396,057 : x
  2. Step 2: Convert to fraction form
    257,382/396,057 = 396,057/x
  3. Step 3: Cross multiply
    257,382x = 396,057 × 396,057
  4. Step 4: Simplify right side
    257,382x = 156,861,147,249
  5. Step 5: Solve for x
    x = 156,861,147,249/257,382
  6. Step 6: Final answer
    x = 609,448.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.