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Finding the Third Proportional to 111,116 and 239,728

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Solution

The third proportional to 111,116 and 239,728 is: 517,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,116 : 239,728 = 239,728 : x
  2. Step 2: Convert to fraction form
    111,116/239,728 = 239,728/x
  3. Step 3: Cross multiply
    111,116x = 239,728 × 239,728
  4. Step 4: Simplify right side
    111,116x = 57,469,513,984
  5. Step 5: Solve for x
    x = 57,469,513,984/111,116
  6. Step 6: Final answer
    x = 517,202.87

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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.