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Finding the Third Proportional to 309,857 and 656,917

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Solution

The third proportional to 309,857 and 656,917 is: 1,392,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,857 : 656,917 = 656,917 : x
  2. Step 2: Convert to fraction form
    309,857/656,917 = 656,917/x
  3. Step 3: Cross multiply
    309,857x = 656,917 × 656,917
  4. Step 4: Simplify right side
    309,857x = 431,539,944,889
  5. Step 5: Solve for x
    x = 431,539,944,889/309,857
  6. Step 6: Final answer
    x = 1,392,706.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.