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Finding the Third Proportional to 126,129 and 189,723

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Solution

The third proportional to 126,129 and 189,723 is: 285,380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,129 : 189,723 = 189,723 : x
  2. Step 2: Convert to fraction form
    126,129/189,723 = 189,723/x
  3. Step 3: Cross multiply
    126,129x = 189,723 × 189,723
  4. Step 4: Simplify right side
    126,129x = 35,994,816,729
  5. Step 5: Solve for x
    x = 35,994,816,729/126,129
  6. Step 6: Final answer
    x = 285,380.97

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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.