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Finding the Third Proportional to 110,619 and 239,969.25

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Solution

The third proportional to 110,619 and 239,969.25 is: 520,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,619 : 239,969.25 = 239,969.25 : x
  2. Step 2: Convert to fraction form
    110,619/239,969.25 = 239,969.25/x
  3. Step 3: Cross multiply
    110,619x = 239,969.25 × 239,969.25
  4. Step 4: Simplify right side
    110,619x = 57,585,240,945.56
  5. Step 5: Solve for x
    x = 57,585,240,945.56/110,619
  6. Step 6: Final answer
    x = 520,572.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.