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Finding the Third Proportional to 166,877 and 258,874

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Solution

The third proportional to 166,877 and 258,874 is: 401,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,877 : 258,874 = 258,874 : x
  2. Step 2: Convert to fraction form
    166,877/258,874 = 258,874/x
  3. Step 3: Cross multiply
    166,877x = 258,874 × 258,874
  4. Step 4: Simplify right side
    166,877x = 67,015,747,876
  5. Step 5: Solve for x
    x = 67,015,747,876/166,877
  6. Step 6: Final answer
    x = 401,587.68

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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.