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Finding the Third Proportional to 7,208.25 and 10,812.75

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Solution

The third proportional to 7,208.25 and 10,812.75 is: 16,219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.25 : 10,812.75 = 10,812.75 : x
  2. Step 2: Convert to fraction form
    7,208.25/10,812.75 = 10,812.75/x
  3. Step 3: Cross multiply
    7,208.25x = 10,812.75 × 10,812.75
  4. Step 4: Simplify right side
    7,208.25x = 116,915,562.56
  5. Step 5: Solve for x
    x = 116,915,562.56/7,208.25
  6. Step 6: Final answer
    x = 16,219.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.