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Finding the Third Proportional to 68,729 and 106,418

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Solution

The third proportional to 68,729 and 106,418 is: 164,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,729 : 106,418 = 106,418 : x
  2. Step 2: Convert to fraction form
    68,729/106,418 = 106,418/x
  3. Step 3: Cross multiply
    68,729x = 106,418 × 106,418
  4. Step 4: Simplify right side
    68,729x = 11,324,790,724
  5. Step 5: Solve for x
    x = 11,324,790,724/68,729
  6. Step 6: Final answer
    x = 164,774.56

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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.