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Finding the Third Proportional to 79,842 and 122,195

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Solution

The third proportional to 79,842 and 122,195 is: 187,014.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,842 : 122,195 = 122,195 : x
  2. Step 2: Convert to fraction form
    79,842/122,195 = 122,195/x
  3. Step 3: Cross multiply
    79,842x = 122,195 × 122,195
  4. Step 4: Simplify right side
    79,842x = 14,931,618,025
  5. Step 5: Solve for x
    x = 14,931,618,025/79,842
  6. Step 6: Final answer
    x = 187,014.58

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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.