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Finding the Third Proportional to 76,683 and 166,866

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Solution

The third proportional to 76,683 and 166,866 is: 363,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,683 : 166,866 = 166,866 : x
  2. Step 2: Convert to fraction form
    76,683/166,866 = 166,866/x
  3. Step 3: Cross multiply
    76,683x = 166,866 × 166,866
  4. Step 4: Simplify right side
    76,683x = 27,844,261,956
  5. Step 5: Solve for x
    x = 27,844,261,956/76,683
  6. Step 6: Final answer
    x = 363,108.67

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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.