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Finding the Third Proportional to 122,022.50 and 223,795

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Solution

The third proportional to 122,022.50 and 223,795 is: 410,450.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,022.50 : 223,795 = 223,795 : x
  2. Step 2: Convert to fraction form
    122,022.50/223,795 = 223,795/x
  3. Step 3: Cross multiply
    122,022.50x = 223,795 × 223,795
  4. Step 4: Simplify right side
    122,022.50x = 50,084,202,025
  5. Step 5: Solve for x
    x = 50,084,202,025/122,022.50
  6. Step 6: Final answer
    x = 410,450.55

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.