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Finding the Third Proportional to 79,609 and 122,190

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Solution

The third proportional to 79,609 and 122,190 is: 187,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,609 : 122,190 = 122,190 : x
  2. Step 2: Convert to fraction form
    79,609/122,190 = 122,190/x
  3. Step 3: Cross multiply
    79,609x = 122,190 × 122,190
  4. Step 4: Simplify right side
    79,609x = 14,930,396,100
  5. Step 5: Solve for x
    x = 14,930,396,100/79,609
  6. Step 6: Final answer
    x = 187,546.59

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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.