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Finding the Third Proportional to 68,638 and 106,965

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Solution

The third proportional to 68,638 and 106,965 is: 166,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,638 : 106,965 = 106,965 : x
  2. Step 2: Convert to fraction form
    68,638/106,965 = 106,965/x
  3. Step 3: Cross multiply
    68,638x = 106,965 × 106,965
  4. Step 4: Simplify right side
    68,638x = 11,441,511,225
  5. Step 5: Solve for x
    x = 11,441,511,225/68,638
  6. Step 6: Final answer
    x = 166,693.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.