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Finding the Third Proportional to 1,251.75 and 1,760.81

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Solution

The third proportional to 1,251.75 and 1,760.81 is: 2,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.75 : 1,760.81 = 1,760.81 : x
  2. Step 2: Convert to fraction form
    1,251.75/1,760.81 = 1,760.81/x
  3. Step 3: Cross multiply
    1,251.75x = 1,760.81 × 1,760.81
  4. Step 4: Simplify right side
    1,251.75x = 3,100,460.66
  5. Step 5: Solve for x
    x = 3,100,460.66/1,251.75
  6. Step 6: Final answer
    x = 2,476.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.