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Finding the Third Proportional to 129,067 and 276,809

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Solution

The third proportional to 129,067 and 276,809 is: 593,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,067 : 276,809 = 276,809 : x
  2. Step 2: Convert to fraction form
    129,067/276,809 = 276,809/x
  3. Step 3: Cross multiply
    129,067x = 276,809 × 276,809
  4. Step 4: Simplify right side
    129,067x = 76,623,222,481
  5. Step 5: Solve for x
    x = 76,623,222,481/129,067
  6. Step 6: Final answer
    x = 593,670.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.