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Finding the Third Proportional to 126,438 and 189,993

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Solution

The third proportional to 126,438 and 189,993 is: 285,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,438 : 189,993 = 189,993 : x
  2. Step 2: Convert to fraction form
    126,438/189,993 = 189,993/x
  3. Step 3: Cross multiply
    126,438x = 189,993 × 189,993
  4. Step 4: Simplify right side
    126,438x = 36,097,340,049
  5. Step 5: Solve for x
    x = 36,097,340,049/126,438
  6. Step 6: Final answer
    x = 285,494.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.