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Finding the Third Proportional to 2,170.69 and 2,716.31

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Solution

The third proportional to 2,170.69 and 2,716.31 is: 3,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.69 : 2,716.31 = 2,716.31 : x
  2. Step 2: Convert to fraction form
    2,170.69/2,716.31 = 2,716.31/x
  3. Step 3: Cross multiply
    2,170.69x = 2,716.31 × 2,716.31
  4. Step 4: Simplify right side
    2,170.69x = 7,378,353.60
  5. Step 5: Solve for x
    x = 7,378,353.60/2,170.69
  6. Step 6: Final answer
    x = 3,399.09

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.