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Finding the Third Proportional to 76,686 and 166,872

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Solution

The third proportional to 76,686 and 166,872 is: 363,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,686 : 166,872 = 166,872 : x
  2. Step 2: Convert to fraction form
    76,686/166,872 = 166,872/x
  3. Step 3: Cross multiply
    76,686x = 166,872 × 166,872
  4. Step 4: Simplify right side
    76,686x = 27,846,264,384
  5. Step 5: Solve for x
    x = 27,846,264,384/76,686
  6. Step 6: Final answer
    x = 363,120.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.