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Finding the Third Proportional to 120,600 and 261,951

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Solution

The third proportional to 120,600 and 261,951 is: 568,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,600 : 261,951 = 261,951 : x
  2. Step 2: Convert to fraction form
    120,600/261,951 = 261,951/x
  3. Step 3: Cross multiply
    120,600x = 261,951 × 261,951
  4. Step 4: Simplify right side
    120,600x = 68,618,326,401
  5. Step 5: Solve for x
    x = 68,618,326,401/120,600
  6. Step 6: Final answer
    x = 568,974.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.