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Finding the Third Proportional to 54,072 and 115,616

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Solution

The third proportional to 54,072 and 115,616 is: 247,208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,072 : 115,616 = 115,616 : x
  2. Step 2: Convert to fraction form
    54,072/115,616 = 115,616/x
  3. Step 3: Cross multiply
    54,072x = 115,616 × 115,616
  4. Step 4: Simplify right side
    54,072x = 13,367,059,456
  5. Step 5: Solve for x
    x = 13,367,059,456/54,072
  6. Step 6: Final answer
    x = 247,208.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.