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Finding the Third Proportional to 204,930 and 276,291

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Solution

The third proportional to 204,930 and 276,291 is: 372,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,930 : 276,291 = 276,291 : x
  2. Step 2: Convert to fraction form
    204,930/276,291 = 276,291/x
  3. Step 3: Cross multiply
    204,930x = 276,291 × 276,291
  4. Step 4: Simplify right side
    204,930x = 76,336,716,681
  5. Step 5: Solve for x
    x = 76,336,716,681/204,930
  6. Step 6: Final answer
    x = 372,501.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.