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Finding the Third Proportional to 54,115 and 117,351

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Solution

The third proportional to 54,115 and 117,351 is: 254,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,115 : 117,351 = 117,351 : x
  2. Step 2: Convert to fraction form
    54,115/117,351 = 117,351/x
  3. Step 3: Cross multiply
    54,115x = 117,351 × 117,351
  4. Step 4: Simplify right side
    54,115x = 13,771,257,201
  5. Step 5: Solve for x
    x = 13,771,257,201/54,115
  6. Step 6: Final answer
    x = 254,481.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.