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Finding the Third Proportional to 126,072 and 192,456

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Solution

The third proportional to 126,072 and 192,456 is: 293,794.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,072 : 192,456 = 192,456 : x
  2. Step 2: Convert to fraction form
    126,072/192,456 = 192,456/x
  3. Step 3: Cross multiply
    126,072x = 192,456 × 192,456
  4. Step 4: Simplify right side
    126,072x = 37,039,311,936
  5. Step 5: Solve for x
    x = 37,039,311,936/126,072
  6. Step 6: Final answer
    x = 293,794.91

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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.