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Finding the Third Proportional to 3,550.82 and 7,468.77

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Solution

The third proportional to 3,550.82 and 7,468.77 is: 15,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,550.82 : 7,468.77 = 7,468.77 : x
  2. Step 2: Convert to fraction form
    3,550.82/7,468.77 = 7,468.77/x
  3. Step 3: Cross multiply
    3,550.82x = 7,468.77 × 7,468.77
  4. Step 4: Simplify right side
    3,550.82x = 55,782,518.31
  5. Step 5: Solve for x
    x = 55,782,518.31/3,550.82
  6. Step 6: Final answer
    x = 15,709.77

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.