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Finding the Third Proportional to 3,162 and 4,219

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Solution

The third proportional to 3,162 and 4,219 is: 5,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162 : 4,219 = 4,219 : x
  2. Step 2: Convert to fraction form
    3,162/4,219 = 4,219/x
  3. Step 3: Cross multiply
    3,162x = 4,219 × 4,219
  4. Step 4: Simplify right side
    3,162x = 17,799,961
  5. Step 5: Solve for x
    x = 17,799,961/3,162
  6. Step 6: Final answer
    x = 5,629.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.