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Finding the Third Proportional to 81,854 and 126,399

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Solution

The third proportional to 81,854 and 126,399 is: 195,185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,854 : 126,399 = 126,399 : x
  2. Step 2: Convert to fraction form
    81,854/126,399 = 126,399/x
  3. Step 3: Cross multiply
    81,854x = 126,399 × 126,399
  4. Step 4: Simplify right side
    81,854x = 15,976,707,201
  5. Step 5: Solve for x
    x = 15,976,707,201/81,854
  6. Step 6: Final answer
    x = 195,185.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.