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Finding the Third Proportional to 126,786 and 197,449

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Solution

The third proportional to 126,786 and 197,449 is: 307,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,786 : 197,449 = 197,449 : x
  2. Step 2: Convert to fraction form
    126,786/197,449 = 197,449/x
  3. Step 3: Cross multiply
    126,786x = 197,449 × 197,449
  4. Step 4: Simplify right side
    126,786x = 38,986,107,601
  5. Step 5: Solve for x
    x = 38,986,107,601/126,786
  6. Step 6: Final answer
    x = 307,495.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.