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Finding the Third Proportional to 71,849 and 154,505

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Solution

The third proportional to 71,849 and 154,505 is: 332,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,849 : 154,505 = 154,505 : x
  2. Step 2: Convert to fraction form
    71,849/154,505 = 154,505/x
  3. Step 3: Cross multiply
    71,849x = 154,505 × 154,505
  4. Step 4: Simplify right side
    71,849x = 23,871,795,025
  5. Step 5: Solve for x
    x = 23,871,795,025/71,849
  6. Step 6: Final answer
    x = 332,249.51

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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.