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Finding the Third Proportional to 120,861 and 261,810

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Solution

The third proportional to 120,861 and 261,810 is: 567,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,861 : 261,810 = 261,810 : x
  2. Step 2: Convert to fraction form
    120,861/261,810 = 261,810/x
  3. Step 3: Cross multiply
    120,861x = 261,810 × 261,810
  4. Step 4: Simplify right side
    120,861x = 68,544,476,100
  5. Step 5: Solve for x
    x = 68,544,476,100/120,861
  6. Step 6: Final answer
    x = 567,134.78

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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.