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Finding the Third Proportional to 51,839 and 109,211

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Solution

The third proportional to 51,839 and 109,211 is: 230,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,839 : 109,211 = 109,211 : x
  2. Step 2: Convert to fraction form
    51,839/109,211 = 109,211/x
  3. Step 3: Cross multiply
    51,839x = 109,211 × 109,211
  4. Step 4: Simplify right side
    51,839x = 11,927,042,521
  5. Step 5: Solve for x
    x = 11,927,042,521/51,839
  6. Step 6: Final answer
    x = 230,078.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.