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Finding the Third Proportional to 38,416 and 79,897

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Solution

The third proportional to 38,416 and 79,897 is: 166,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,416 : 79,897 = 79,897 : x
  2. Step 2: Convert to fraction form
    38,416/79,897 = 79,897/x
  3. Step 3: Cross multiply
    38,416x = 79,897 × 79,897
  4. Step 4: Simplify right side
    38,416x = 6,383,530,609
  5. Step 5: Solve for x
    x = 6,383,530,609/38,416
  6. Step 6: Final answer
    x = 166,168.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.