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Finding the Third Proportional to 120,267 and 259,805

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Solution

The third proportional to 120,267 and 259,805 is: 561,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,267 : 259,805 = 259,805 : x
  2. Step 2: Convert to fraction form
    120,267/259,805 = 259,805/x
  3. Step 3: Cross multiply
    120,267x = 259,805 × 259,805
  4. Step 4: Simplify right side
    120,267x = 67,498,638,025
  5. Step 5: Solve for x
    x = 67,498,638,025/120,267
  6. Step 6: Final answer
    x = 561,239.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.