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Finding the Third Proportional to 257,636 and 378,993

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Solution

The third proportional to 257,636 and 378,993 is: 557,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,636 : 378,993 = 378,993 : x
  2. Step 2: Convert to fraction form
    257,636/378,993 = 378,993/x
  3. Step 3: Cross multiply
    257,636x = 378,993 × 378,993
  4. Step 4: Simplify right side
    257,636x = 143,635,694,049
  5. Step 5: Solve for x
    x = 143,635,694,049/257,636
  6. Step 6: Final answer
    x = 557,514.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.