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Finding the Third Proportional to 120,639.50 and 259,977

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Solution

The third proportional to 120,639.50 and 259,977 is: 560,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,639.50 : 259,977 = 259,977 : x
  2. Step 2: Convert to fraction form
    120,639.50/259,977 = 259,977/x
  3. Step 3: Cross multiply
    120,639.50x = 259,977 × 259,977
  4. Step 4: Simplify right side
    120,639.50x = 67,588,040,529
  5. Step 5: Solve for x
    x = 67,588,040,529/120,639.50
  6. Step 6: Final answer
    x = 560,248.02

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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.