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Finding the Third Proportional to 120,217 and 261,170

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Solution

The third proportional to 120,217 and 261,170 is: 567,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,217 : 261,170 = 261,170 : x
  2. Step 2: Convert to fraction form
    120,217/261,170 = 261,170/x
  3. Step 3: Cross multiply
    120,217x = 261,170 × 261,170
  4. Step 4: Simplify right side
    120,217x = 68,209,768,900
  5. Step 5: Solve for x
    x = 68,209,768,900/120,217
  6. Step 6: Final answer
    x = 567,388.71

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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.