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Finding the Third Proportional to 1,628.44 and 3,936.09

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Solution

The third proportional to 1,628.44 and 3,936.09 is: 9,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.44 : 3,936.09 = 3,936.09 : x
  2. Step 2: Convert to fraction form
    1,628.44/3,936.09 = 3,936.09/x
  3. Step 3: Cross multiply
    1,628.44x = 3,936.09 × 3,936.09
  4. Step 4: Simplify right side
    1,628.44x = 15,492,834.01
  5. Step 5: Solve for x
    x = 15,492,834.01/1,628.44
  6. Step 6: Final answer
    x = 9,513.93

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.