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Finding the Third Proportional to 68,809 and 106,345

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Solution

The third proportional to 68,809 and 106,345 is: 164,357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,809 : 106,345 = 106,345 : x
  2. Step 2: Convert to fraction form
    68,809/106,345 = 106,345/x
  3. Step 3: Cross multiply
    68,809x = 106,345 × 106,345
  4. Step 4: Simplify right side
    68,809x = 11,309,259,025
  5. Step 5: Solve for x
    x = 11,309,259,025/68,809
  6. Step 6: Final answer
    x = 164,357.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.