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Finding the Third Proportional to 111,216 and 239,884

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Solution

The third proportional to 111,216 and 239,884 is: 517,410.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,216 : 239,884 = 239,884 : x
  2. Step 2: Convert to fraction form
    111,216/239,884 = 239,884/x
  3. Step 3: Cross multiply
    111,216x = 239,884 × 239,884
  4. Step 4: Simplify right side
    111,216x = 57,544,333,456
  5. Step 5: Solve for x
    x = 57,544,333,456/111,216
  6. Step 6: Final answer
    x = 517,410.57

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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.