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Finding the Third Proportional to 3,157.31 and 7,379.44

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Solution

The third proportional to 3,157.31 and 7,379.44 is: 17,247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.31 : 7,379.44 = 7,379.44 : x
  2. Step 2: Convert to fraction form
    3,157.31/7,379.44 = 7,379.44/x
  3. Step 3: Cross multiply
    3,157.31x = 7,379.44 × 7,379.44
  4. Step 4: Simplify right side
    3,157.31x = 54,456,097.82
  5. Step 5: Solve for x
    x = 54,456,097.82/3,157.31
  6. Step 6: Final answer
    x = 17,247.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.