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Finding the Third Proportional to 36,881 and 79,139

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Solution

The third proportional to 36,881 and 79,139 is: 169,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,881 : 79,139 = 79,139 : x
  2. Step 2: Convert to fraction form
    36,881/79,139 = 79,139/x
  3. Step 3: Cross multiply
    36,881x = 79,139 × 79,139
  4. Step 4: Simplify right side
    36,881x = 6,262,981,321
  5. Step 5: Solve for x
    x = 6,262,981,321/36,881
  6. Step 6: Final answer
    x = 169,815.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.