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Finding the Third Proportional to 54,789.75 and 81,963.56

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Solution

The third proportional to 54,789.75 and 81,963.56 is: 122,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,789.75 : 81,963.56 = 81,963.56 : x
  2. Step 2: Convert to fraction form
    54,789.75/81,963.56 = 81,963.56/x
  3. Step 3: Cross multiply
    54,789.75x = 81,963.56 × 81,963.56
  4. Step 4: Simplify right side
    54,789.75x = 6,718,025,577.69
  5. Step 5: Solve for x
    x = 6,718,025,577.69/54,789.75
  6. Step 6: Final answer
    x = 122,614.64

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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.