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Finding the Third Proportional to 205,992 and 275,900

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Solution

The third proportional to 205,992 and 275,900 is: 369,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,992 : 275,900 = 275,900 : x
  2. Step 2: Convert to fraction form
    205,992/275,900 = 275,900/x
  3. Step 3: Cross multiply
    205,992x = 275,900 × 275,900
  4. Step 4: Simplify right side
    205,992x = 76,120,810,000
  5. Step 5: Solve for x
    x = 76,120,810,000/205,992
  6. Step 6: Final answer
    x = 369,532.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.