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Finding the Third Proportional to 122,647.50 and 273,993.75

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Solution

The third proportional to 122,647.50 and 273,993.75 is: 612,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,647.50 : 273,993.75 = 273,993.75 : x
  2. Step 2: Convert to fraction form
    122,647.50/273,993.75 = 273,993.75/x
  3. Step 3: Cross multiply
    122,647.50x = 273,993.75 × 273,993.75
  4. Step 4: Simplify right side
    122,647.50x = 75,072,575,039.06
  5. Step 5: Solve for x
    x = 75,072,575,039.06/122,647.50
  6. Step 6: Final answer
    x = 612,100.33

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.