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Finding the Third Proportional to 121,067 and 281,336

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Solution

The third proportional to 121,067 and 281,336 is: 653,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,067 : 281,336 = 281,336 : x
  2. Step 2: Convert to fraction form
    121,067/281,336 = 281,336/x
  3. Step 3: Cross multiply
    121,067x = 281,336 × 281,336
  4. Step 4: Simplify right side
    121,067x = 79,149,944,896
  5. Step 5: Solve for x
    x = 79,149,944,896/121,067
  6. Step 6: Final answer
    x = 653,769.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.