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Finding the Third Proportional to 2,062.13 and 3,286.41

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Solution

The third proportional to 2,062.13 and 3,286.41 is: 5,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.13 : 3,286.41 = 3,286.41 : x
  2. Step 2: Convert to fraction form
    2,062.13/3,286.41 = 3,286.41/x
  3. Step 3: Cross multiply
    2,062.13x = 3,286.41 × 3,286.41
  4. Step 4: Simplify right side
    2,062.13x = 10,800,466.04
  5. Step 5: Solve for x
    x = 10,800,466.04/2,062.13
  6. Step 6: Final answer
    x = 5,237.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.