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Finding the Third Proportional to 5,933.25 and 7,500.38

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Solution

The third proportional to 5,933.25 and 7,500.38 is: 9,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933.25 : 7,500.38 = 7,500.38 : x
  2. Step 2: Convert to fraction form
    5,933.25/7,500.38 = 7,500.38/x
  3. Step 3: Cross multiply
    5,933.25x = 7,500.38 × 7,500.38
  4. Step 4: Simplify right side
    5,933.25x = 56,255,625.14
  5. Step 5: Solve for x
    x = 56,255,625.14/5,933.25
  6. Step 6: Final answer
    x = 9,481.42

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.