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Finding the Third Proportional to 5,550.50 and 7,209.38

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Solution

The third proportional to 5,550.50 and 7,209.38 is: 9,364.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,550.50 : 7,209.38 = 7,209.38 : x
  2. Step 2: Convert to fraction form
    5,550.50/7,209.38 = 7,209.38/x
  3. Step 3: Cross multiply
    5,550.50x = 7,209.38 × 7,209.38
  4. Step 4: Simplify right side
    5,550.50x = 51,975,087.89
  5. Step 5: Solve for x
    x = 51,975,087.89/5,550.50
  6. Step 6: Final answer
    x = 9,364.04

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.