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Finding the Third Proportional to 79,872 and 173,912

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Solution

The third proportional to 79,872 and 173,912 is: 378,673.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,872 : 173,912 = 173,912 : x
  2. Step 2: Convert to fraction form
    79,872/173,912 = 173,912/x
  3. Step 3: Cross multiply
    79,872x = 173,912 × 173,912
  4. Step 4: Simplify right side
    79,872x = 30,245,383,744
  5. Step 5: Solve for x
    x = 30,245,383,744/79,872
  6. Step 6: Final answer
    x = 378,673.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.