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Finding the Third Proportional to 120,867 and 259,230

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Solution

The third proportional to 120,867 and 259,230 is: 555,984.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,867 : 259,230 = 259,230 : x
  2. Step 2: Convert to fraction form
    120,867/259,230 = 259,230/x
  3. Step 3: Cross multiply
    120,867x = 259,230 × 259,230
  4. Step 4: Simplify right side
    120,867x = 67,200,192,900
  5. Step 5: Solve for x
    x = 67,200,192,900/120,867
  6. Step 6: Final answer
    x = 555,984.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.