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Finding the Third Proportional to 1,208.25 and 1,811.81

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Solution

The third proportional to 1,208.25 and 1,811.81 is: 2,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.25 : 1,811.81 = 1,811.81 : x
  2. Step 2: Convert to fraction form
    1,208.25/1,811.81 = 1,811.81/x
  3. Step 3: Cross multiply
    1,208.25x = 1,811.81 × 1,811.81
  4. Step 4: Simplify right side
    1,208.25x = 3,282,664.54
  5. Step 5: Solve for x
    x = 3,282,664.54/1,208.25
  6. Step 6: Final answer
    x = 2,716.88

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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.