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Finding the Third Proportional to 120,025 and 261,218

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Solution

The third proportional to 120,025 and 261,218 is: 568,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,025 : 261,218 = 261,218 : x
  2. Step 2: Convert to fraction form
    120,025/261,218 = 261,218/x
  3. Step 3: Cross multiply
    120,025x = 261,218 × 261,218
  4. Step 4: Simplify right side
    120,025x = 68,234,843,524
  5. Step 5: Solve for x
    x = 68,234,843,524/120,025
  6. Step 6: Final answer
    x = 568,505.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.