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Finding the Third Proportional to 68,067 and 121,311

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Solution

The third proportional to 68,067 and 121,311 is: 216,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,067 : 121,311 = 121,311 : x
  2. Step 2: Convert to fraction form
    68,067/121,311 = 121,311/x
  3. Step 3: Cross multiply
    68,067x = 121,311 × 121,311
  4. Step 4: Simplify right side
    68,067x = 14,716,358,721
  5. Step 5: Solve for x
    x = 14,716,358,721/68,067
  6. Step 6: Final answer
    x = 216,204.02

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.