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Finding the Third Proportional to 111,761.25 and 217,902.75

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Solution

The third proportional to 111,761.25 and 217,902.75 is: 424,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,761.25 : 217,902.75 = 217,902.75 : x
  2. Step 2: Convert to fraction form
    111,761.25/217,902.75 = 217,902.75/x
  3. Step 3: Cross multiply
    111,761.25x = 217,902.75 × 217,902.75
  4. Step 4: Simplify right side
    111,761.25x = 47,481,608,457.56
  5. Step 5: Solve for x
    x = 47,481,608,457.56/111,761.25
  6. Step 6: Final answer
    x = 424,848.58

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.