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Finding the Third Proportional to 127,809 and 197,694

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Solution

The third proportional to 127,809 and 197,694 is: 305,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,809 : 197,694 = 197,694 : x
  2. Step 2: Convert to fraction form
    127,809/197,694 = 197,694/x
  3. Step 3: Cross multiply
    127,809x = 197,694 × 197,694
  4. Step 4: Simplify right side
    127,809x = 39,082,917,636
  5. Step 5: Solve for x
    x = 39,082,917,636/127,809
  6. Step 6: Final answer
    x = 305,791.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.