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Finding the Third Proportional to 117,015.75 and 239,568.75

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Solution

The third proportional to 117,015.75 and 239,568.75 is: 490,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,015.75 : 239,568.75 = 239,568.75 : x
  2. Step 2: Convert to fraction form
    117,015.75/239,568.75 = 239,568.75/x
  3. Step 3: Cross multiply
    117,015.75x = 239,568.75 × 239,568.75
  4. Step 4: Simplify right side
    117,015.75x = 57,393,185,976.56
  5. Step 5: Solve for x
    x = 57,393,185,976.56/117,015.75
  6. Step 6: Final answer
    x = 490,474.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.