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Finding the Third Proportional to 73,100.25 and 160,161.75

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Solution

The third proportional to 73,100.25 and 160,161.75 is: 350,912.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,100.25 : 160,161.75 = 160,161.75 : x
  2. Step 2: Convert to fraction form
    73,100.25/160,161.75 = 160,161.75/x
  3. Step 3: Cross multiply
    73,100.25x = 160,161.75 × 160,161.75
  4. Step 4: Simplify right side
    73,100.25x = 25,651,786,163.06
  5. Step 5: Solve for x
    x = 25,651,786,163.06/73,100.25
  6. Step 6: Final answer
    x = 350,912.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.