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Finding the Third Proportional to 111,231 and 239,958

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Solution

The third proportional to 111,231 and 239,958 is: 517,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,231 : 239,958 = 239,958 : x
  2. Step 2: Convert to fraction form
    111,231/239,958 = 239,958/x
  3. Step 3: Cross multiply
    111,231x = 239,958 × 239,958
  4. Step 4: Simplify right side
    111,231x = 57,579,841,764
  5. Step 5: Solve for x
    x = 57,579,841,764/111,231
  6. Step 6: Final answer
    x = 517,660.02

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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.