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Finding the Third Proportional to 2,005.46 and 3,121.39

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Solution

The third proportional to 2,005.46 and 3,121.39 is: 4,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.46 : 3,121.39 = 3,121.39 : x
  2. Step 2: Convert to fraction form
    2,005.46/3,121.39 = 3,121.39/x
  3. Step 3: Cross multiply
    2,005.46x = 3,121.39 × 3,121.39
  4. Step 4: Simplify right side
    2,005.46x = 9,743,058.10
  5. Step 5: Solve for x
    x = 9,743,058.10/2,005.46
  6. Step 6: Final answer
    x = 4,858.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.