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Finding the Third Proportional to 1,648 and 3,812

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Solution

The third proportional to 1,648 and 3,812 is: 8,817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648 : 3,812 = 3,812 : x
  2. Step 2: Convert to fraction form
    1,648/3,812 = 3,812/x
  3. Step 3: Cross multiply
    1,648x = 3,812 × 3,812
  4. Step 4: Simplify right side
    1,648x = 14,531,344
  5. Step 5: Solve for x
    x = 14,531,344/1,648
  6. Step 6: Final answer
    x = 8,817.56

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.