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Finding the Third Proportional to 68,931 and 143,694

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Solution

The third proportional to 68,931 and 143,694 is: 299,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,931 : 143,694 = 143,694 : x
  2. Step 2: Convert to fraction form
    68,931/143,694 = 143,694/x
  3. Step 3: Cross multiply
    68,931x = 143,694 × 143,694
  4. Step 4: Simplify right side
    68,931x = 20,647,965,636
  5. Step 5: Solve for x
    x = 20,647,965,636/68,931
  6. Step 6: Final answer
    x = 299,545.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.