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Finding the Third Proportional to 129,886 and 206,857

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Solution

The third proportional to 129,886 and 206,857 is: 329,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,886 : 206,857 = 206,857 : x
  2. Step 2: Convert to fraction form
    129,886/206,857 = 206,857/x
  3. Step 3: Cross multiply
    129,886x = 206,857 × 206,857
  4. Step 4: Simplify right side
    129,886x = 42,789,818,449
  5. Step 5: Solve for x
    x = 42,789,818,449/129,886
  6. Step 6: Final answer
    x = 329,441.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.