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Finding the Third Proportional to 120,647.25 and 259,994.25

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Solution

The third proportional to 120,647.25 and 259,994.25 is: 560,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,647.25 : 259,994.25 = 259,994.25 : x
  2. Step 2: Convert to fraction form
    120,647.25/259,994.25 = 259,994.25/x
  3. Step 3: Cross multiply
    120,647.25x = 259,994.25 × 259,994.25
  4. Step 4: Simplify right side
    120,647.25x = 67,597,010,033.06
  5. Step 5: Solve for x
    x = 67,597,010,033.06/120,647.25
  6. Step 6: Final answer
    x = 560,286.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.