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Finding the Third Proportional to 81,868 and 175,694

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Solution

The third proportional to 81,868 and 175,694 is: 377,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,868 : 175,694 = 175,694 : x
  2. Step 2: Convert to fraction form
    81,868/175,694 = 175,694/x
  3. Step 3: Cross multiply
    81,868x = 175,694 × 175,694
  4. Step 4: Simplify right side
    81,868x = 30,868,381,636
  5. Step 5: Solve for x
    x = 30,868,381,636/81,868
  6. Step 6: Final answer
    x = 377,050.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.