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Finding the Third Proportional to 120,100 and 261,339

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Solution

The third proportional to 120,100 and 261,339 is: 568,676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,100 : 261,339 = 261,339 : x
  2. Step 2: Convert to fraction form
    120,100/261,339 = 261,339/x
  3. Step 3: Cross multiply
    120,100x = 261,339 × 261,339
  4. Step 4: Simplify right side
    120,100x = 68,298,072,921
  5. Step 5: Solve for x
    x = 68,298,072,921/120,100
  6. Step 6: Final answer
    x = 568,676.71

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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.