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Finding the Third Proportional to 70,212 and 167,880

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Solution

The third proportional to 70,212 and 167,880 is: 401,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,212 : 167,880 = 167,880 : x
  2. Step 2: Convert to fraction form
    70,212/167,880 = 167,880/x
  3. Step 3: Cross multiply
    70,212x = 167,880 × 167,880
  4. Step 4: Simplify right side
    70,212x = 28,183,694,400
  5. Step 5: Solve for x
    x = 28,183,694,400/70,212
  6. Step 6: Final answer
    x = 401,408.51

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.