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Finding the Third Proportional to 120,842 and 259,186

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Solution

The third proportional to 120,842 and 259,186 is: 555,910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,842 : 259,186 = 259,186 : x
  2. Step 2: Convert to fraction form
    120,842/259,186 = 259,186/x
  3. Step 3: Cross multiply
    120,842x = 259,186 × 259,186
  4. Step 4: Simplify right side
    120,842x = 67,177,382,596
  5. Step 5: Solve for x
    x = 67,177,382,596/120,842
  6. Step 6: Final answer
    x = 555,910.88

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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.