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Finding the Third Proportional to 68,686 and 106,296

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Solution

The third proportional to 68,686 and 106,296 is: 164,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,686 : 106,296 = 106,296 : x
  2. Step 2: Convert to fraction form
    68,686/106,296 = 106,296/x
  3. Step 3: Cross multiply
    68,686x = 106,296 × 106,296
  4. Step 4: Simplify right side
    68,686x = 11,298,839,616
  5. Step 5: Solve for x
    x = 11,298,839,616/68,686
  6. Step 6: Final answer
    x = 164,499.89

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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.