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Finding the Third Proportional to 75,122.25 and 116,163.75

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Solution

The third proportional to 75,122.25 and 116,163.75 is: 179,627.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,122.25 : 116,163.75 = 116,163.75 : x
  2. Step 2: Convert to fraction form
    75,122.25/116,163.75 = 116,163.75/x
  3. Step 3: Cross multiply
    75,122.25x = 116,163.75 × 116,163.75
  4. Step 4: Simplify right side
    75,122.25x = 13,494,016,814.06
  5. Step 5: Solve for x
    x = 13,494,016,814.06/75,122.25
  6. Step 6: Final answer
    x = 179,627.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.