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Finding the Third Proportional to 18,533.25 and 20,112.75

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Solution

The third proportional to 18,533.25 and 20,112.75 is: 21,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.25 : 20,112.75 = 20,112.75 : x
  2. Step 2: Convert to fraction form
    18,533.25/20,112.75 = 20,112.75/x
  3. Step 3: Cross multiply
    18,533.25x = 20,112.75 × 20,112.75
  4. Step 4: Simplify right side
    18,533.25x = 404,522,712.56
  5. Step 5: Solve for x
    x = 404,522,712.56/18,533.25
  6. Step 6: Final answer
    x = 21,826.86

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.