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Finding the Third Proportional to 120,879 and 258,390

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Solution

The third proportional to 120,879 and 258,390 is: 552,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,879 : 258,390 = 258,390 : x
  2. Step 2: Convert to fraction form
    120,879/258,390 = 258,390/x
  3. Step 3: Cross multiply
    120,879x = 258,390 × 258,390
  4. Step 4: Simplify right side
    120,879x = 66,765,392,100
  5. Step 5: Solve for x
    x = 66,765,392,100/120,879
  6. Step 6: Final answer
    x = 552,332.43

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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.