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Finding the Third Proportional to 3,289.50 and 7,240.50

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Solution

The third proportional to 3,289.50 and 7,240.50 is: 15,937.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.50 : 7,240.50 = 7,240.50 : x
  2. Step 2: Convert to fraction form
    3,289.50/7,240.50 = 7,240.50/x
  3. Step 3: Cross multiply
    3,289.50x = 7,240.50 × 7,240.50
  4. Step 4: Simplify right side
    3,289.50x = 52,424,840.25
  5. Step 5: Solve for x
    x = 52,424,840.25/3,289.50
  6. Step 6: Final answer
    x = 15,937.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.