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Finding the Third Proportional to 3,189.75 and 6,911.25

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Solution

The third proportional to 3,189.75 and 6,911.25 is: 14,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.75 : 6,911.25 = 6,911.25 : x
  2. Step 2: Convert to fraction form
    3,189.75/6,911.25 = 6,911.25/x
  3. Step 3: Cross multiply
    3,189.75x = 6,911.25 × 6,911.25
  4. Step 4: Simplify right side
    3,189.75x = 47,765,376.56
  5. Step 5: Solve for x
    x = 47,765,376.56/3,189.75
  6. Step 6: Final answer
    x = 14,974.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.