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Finding the Third Proportional to 68,826 and 145,922

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Solution

The third proportional to 68,826 and 145,922 is: 309,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,826 : 145,922 = 145,922 : x
  2. Step 2: Convert to fraction form
    68,826/145,922 = 145,922/x
  3. Step 3: Cross multiply
    68,826x = 145,922 × 145,922
  4. Step 4: Simplify right side
    68,826x = 21,293,230,084
  5. Step 5: Solve for x
    x = 21,293,230,084/68,826
  6. Step 6: Final answer
    x = 309,377.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.