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Finding the Third Proportional to 3,289.50 and 7,308

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Solution

The third proportional to 3,289.50 and 7,308 is: 16,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.50 : 7,308 = 7,308 : x
  2. Step 2: Convert to fraction form
    3,289.50/7,308 = 7,308/x
  3. Step 3: Cross multiply
    3,289.50x = 7,308 × 7,308
  4. Step 4: Simplify right side
    3,289.50x = 53,406,864
  5. Step 5: Solve for x
    x = 53,406,864/3,289.50
  6. Step 6: Final answer
    x = 16,235.56

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.