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Finding the Third Proportional to 111,723 and 239,439

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Solution

The third proportional to 111,723 and 239,439 is: 513,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,723 : 239,439 = 239,439 : x
  2. Step 2: Convert to fraction form
    111,723/239,439 = 239,439/x
  3. Step 3: Cross multiply
    111,723x = 239,439 × 239,439
  4. Step 4: Simplify right side
    111,723x = 57,331,034,721
  5. Step 5: Solve for x
    x = 57,331,034,721/111,723
  6. Step 6: Final answer
    x = 513,153.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.