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Finding the Third Proportional to 111,388.50 and 239,562.75

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Solution

The third proportional to 111,388.50 and 239,562.75 is: 515,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,388.50 : 239,562.75 = 239,562.75 : x
  2. Step 2: Convert to fraction form
    111,388.50/239,562.75 = 239,562.75/x
  3. Step 3: Cross multiply
    111,388.50x = 239,562.75 × 239,562.75
  4. Step 4: Simplify right side
    111,388.50x = 57,390,311,187.56
  5. Step 5: Solve for x
    x = 57,390,311,187.56/111,388.50
  6. Step 6: Final answer
    x = 515,226.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.