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Finding the Third Proportional to 68,110 and 106,305

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Solution

The third proportional to 68,110 and 106,305 is: 165,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,110 : 106,305 = 106,305 : x
  2. Step 2: Convert to fraction form
    68,110/106,305 = 106,305/x
  3. Step 3: Cross multiply
    68,110x = 106,305 × 106,305
  4. Step 4: Simplify right side
    68,110x = 11,300,753,025
  5. Step 5: Solve for x
    x = 11,300,753,025/68,110
  6. Step 6: Final answer
    x = 165,919.15

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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.