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Finding the Third Proportional to 120,279 and 261,051

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Solution

The third proportional to 120,279 and 261,051 is: 566,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,279 : 261,051 = 261,051 : x
  2. Step 2: Convert to fraction form
    120,279/261,051 = 261,051/x
  3. Step 3: Cross multiply
    120,279x = 261,051 × 261,051
  4. Step 4: Simplify right side
    120,279x = 68,147,624,601
  5. Step 5: Solve for x
    x = 68,147,624,601/120,279
  6. Step 6: Final answer
    x = 566,579.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.