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Finding the Third Proportional to 82,550.25 and 111,471.75

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Solution

The third proportional to 82,550.25 and 111,471.75 is: 150,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,550.25 : 111,471.75 = 111,471.75 : x
  2. Step 2: Convert to fraction form
    82,550.25/111,471.75 = 111,471.75/x
  3. Step 3: Cross multiply
    82,550.25x = 111,471.75 × 111,471.75
  4. Step 4: Simplify right side
    82,550.25x = 12,425,951,048.06
  5. Step 5: Solve for x
    x = 12,425,951,048.06/82,550.25
  6. Step 6: Final answer
    x = 150,525.90

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.