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Finding the Third Proportional to 81,906.61 and 175,198.36

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Solution

The third proportional to 81,906.61 and 175,198.36 is: 374,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,906.61 : 175,198.36 = 175,198.36 : x
  2. Step 2: Convert to fraction form
    81,906.61/175,198.36 = 175,198.36/x
  3. Step 3: Cross multiply
    81,906.61x = 175,198.36 × 175,198.36
  4. Step 4: Simplify right side
    81,906.61x = 30,694,465,127.69
  5. Step 5: Solve for x
    x = 30,694,465,127.69/81,906.61
  6. Step 6: Final answer
    x = 374,749.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.