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Finding the Third Proportional to 111,122 and 239,619

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Solution

The third proportional to 111,122 and 239,619 is: 516,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,122 : 239,619 = 239,619 : x
  2. Step 2: Convert to fraction form
    111,122/239,619 = 239,619/x
  3. Step 3: Cross multiply
    111,122x = 239,619 × 239,619
  4. Step 4: Simplify right side
    111,122x = 57,417,265,161
  5. Step 5: Solve for x
    x = 57,417,265,161/111,122
  6. Step 6: Final answer
    x = 516,704.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.