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Finding the Third Proportional to 120,567 and 261,891

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Solution

The third proportional to 120,567 and 261,891 is: 568,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,567 : 261,891 = 261,891 : x
  2. Step 2: Convert to fraction form
    120,567/261,891 = 261,891/x
  3. Step 3: Cross multiply
    120,567x = 261,891 × 261,891
  4. Step 4: Simplify right side
    120,567x = 68,586,895,881
  5. Step 5: Solve for x
    x = 68,586,895,881/120,567
  6. Step 6: Final answer
    x = 568,869.56

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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.