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Finding the Third Proportional to 54,015 and 126,189

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Solution

The third proportional to 54,015 and 126,189 is: 294,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,015 : 126,189 = 126,189 : x
  2. Step 2: Convert to fraction form
    54,015/126,189 = 126,189/x
  3. Step 3: Cross multiply
    54,015x = 126,189 × 126,189
  4. Step 4: Simplify right side
    54,015x = 15,923,663,721
  5. Step 5: Solve for x
    x = 15,923,663,721/54,015
  6. Step 6: Final answer
    x = 294,800.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.