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Finding the Third Proportional to 54,489.38 and 121,736.25

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Solution

The third proportional to 54,489.38 and 121,736.25 is: 271,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,489.38 : 121,736.25 = 121,736.25 : x
  2. Step 2: Convert to fraction form
    54,489.38/121,736.25 = 121,736.25/x
  3. Step 3: Cross multiply
    54,489.38x = 121,736.25 × 121,736.25
  4. Step 4: Simplify right side
    54,489.38x = 14,819,714,564.06
  5. Step 5: Solve for x
    x = 14,819,714,564.06/54,489.38
  6. Step 6: Final answer
    x = 271,974.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.