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Finding the Third Proportional to 3,138.94 and 4,863.19

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Solution

The third proportional to 3,138.94 and 4,863.19 is: 7,534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.94 : 4,863.19 = 4,863.19 : x
  2. Step 2: Convert to fraction form
    3,138.94/4,863.19 = 4,863.19/x
  3. Step 3: Cross multiply
    3,138.94x = 4,863.19 × 4,863.19
  4. Step 4: Simplify right side
    3,138.94x = 23,650,592.66
  5. Step 5: Solve for x
    x = 23,650,592.66/3,138.94
  6. Step 6: Final answer
    x = 7,534.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.