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Finding the Third Proportional to 109,538 and 239,351

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Solution

The third proportional to 109,538 and 239,351 is: 523,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,538 : 239,351 = 239,351 : x
  2. Step 2: Convert to fraction form
    109,538/239,351 = 239,351/x
  3. Step 3: Cross multiply
    109,538x = 239,351 × 239,351
  4. Step 4: Simplify right side
    109,538x = 57,288,901,201
  5. Step 5: Solve for x
    x = 57,288,901,201/109,538
  6. Step 6: Final answer
    x = 523,004.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.