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Finding the Third Proportional to 120,589 and 261,937

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Solution

The third proportional to 120,589 and 261,937 is: 568,965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,589 : 261,937 = 261,937 : x
  2. Step 2: Convert to fraction form
    120,589/261,937 = 261,937/x
  3. Step 3: Cross multiply
    120,589x = 261,937 × 261,937
  4. Step 4: Simplify right side
    120,589x = 68,610,991,969
  5. Step 5: Solve for x
    x = 68,610,991,969/120,589
  6. Step 6: Final answer
    x = 568,965.59

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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.