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Finding the Third Proportional to 54,158 and 81,238

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Solution

The third proportional to 54,158 and 81,238 is: 121,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,158 : 81,238 = 81,238 : x
  2. Step 2: Convert to fraction form
    54,158/81,238 = 81,238/x
  3. Step 3: Cross multiply
    54,158x = 81,238 × 81,238
  4. Step 4: Simplify right side
    54,158x = 6,599,612,644
  5. Step 5: Solve for x
    x = 6,599,612,644/54,158
  6. Step 6: Final answer
    x = 121,858.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.