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Finding the Third Proportional to 123,379 and 267,899

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Solution

The third proportional to 123,379 and 267,899 is: 581,702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,379 : 267,899 = 267,899 : x
  2. Step 2: Convert to fraction form
    123,379/267,899 = 267,899/x
  3. Step 3: Cross multiply
    123,379x = 267,899 × 267,899
  4. Step 4: Simplify right side
    123,379x = 71,769,874,201
  5. Step 5: Solve for x
    x = 71,769,874,201/123,379
  6. Step 6: Final answer
    x = 581,702.51

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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.