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Finding the Third Proportional to 76,690 and 166,874

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Solution

The third proportional to 76,690 and 166,874 is: 363,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,690 : 166,874 = 166,874 : x
  2. Step 2: Convert to fraction form
    76,690/166,874 = 166,874/x
  3. Step 3: Cross multiply
    76,690x = 166,874 × 166,874
  4. Step 4: Simplify right side
    76,690x = 27,846,931,876
  5. Step 5: Solve for x
    x = 27,846,931,876/76,690
  6. Step 6: Final answer
    x = 363,110.34

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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.