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Finding the Third Proportional to 3,191.06 and 3,550.50

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Solution

The third proportional to 3,191.06 and 3,550.50 is: 3,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.06 : 3,550.50 = 3,550.50 : x
  2. Step 2: Convert to fraction form
    3,191.06/3,550.50 = 3,550.50/x
  3. Step 3: Cross multiply
    3,191.06x = 3,550.50 × 3,550.50
  4. Step 4: Simplify right side
    3,191.06x = 12,606,050.25
  5. Step 5: Solve for x
    x = 12,606,050.25/3,191.06
  6. Step 6: Final answer
    x = 3,950.42

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.