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Finding the Third Proportional to 111,600 and 239,868

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Solution

The third proportional to 111,600 and 239,868 is: 515,561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,600 : 239,868 = 239,868 : x
  2. Step 2: Convert to fraction form
    111,600/239,868 = 239,868/x
  3. Step 3: Cross multiply
    111,600x = 239,868 × 239,868
  4. Step 4: Simplify right side
    111,600x = 57,536,657,424
  5. Step 5: Solve for x
    x = 57,536,657,424/111,600
  6. Step 6: Final answer
    x = 515,561.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.