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Finding the Third Proportional to 168,876 and 258,930

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Solution

The third proportional to 168,876 and 258,930 is: 397,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,876 : 258,930 = 258,930 : x
  2. Step 2: Convert to fraction form
    168,876/258,930 = 258,930/x
  3. Step 3: Cross multiply
    168,876x = 258,930 × 258,930
  4. Step 4: Simplify right side
    168,876x = 67,044,744,900
  5. Step 5: Solve for x
    x = 67,044,744,900/168,876
  6. Step 6: Final answer
    x = 397,005.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.