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Finding the Third Proportional to 54,000 and 126,129

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Solution

The third proportional to 54,000 and 126,129 is: 294,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,000 : 126,129 = 126,129 : x
  2. Step 2: Convert to fraction form
    54,000/126,129 = 126,129/x
  3. Step 3: Cross multiply
    54,000x = 126,129 × 126,129
  4. Step 4: Simplify right side
    54,000x = 15,908,524,641
  5. Step 5: Solve for x
    x = 15,908,524,641/54,000
  6. Step 6: Final answer
    x = 294,602.31

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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.