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Finding the Third Proportional to 54,137 and 84,945

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Solution

The third proportional to 54,137 and 84,945 is: 133,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,137 : 84,945 = 84,945 : x
  2. Step 2: Convert to fraction form
    54,137/84,945 = 84,945/x
  3. Step 3: Cross multiply
    54,137x = 84,945 × 84,945
  4. Step 4: Simplify right side
    54,137x = 7,215,653,025
  5. Step 5: Solve for x
    x = 7,215,653,025/54,137
  6. Step 6: Final answer
    x = 133,285.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.