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Finding the Third Proportional to 5,138.44 and 6,171.19

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Solution

The third proportional to 5,138.44 and 6,171.19 is: 7,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.44 : 6,171.19 = 6,171.19 : x
  2. Step 2: Convert to fraction form
    5,138.44/6,171.19 = 6,171.19/x
  3. Step 3: Cross multiply
    5,138.44x = 6,171.19 × 6,171.19
  4. Step 4: Simplify right side
    5,138.44x = 38,083,555.16
  5. Step 5: Solve for x
    x = 38,083,555.16/5,138.44
  6. Step 6: Final answer
    x = 7,411.50

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.