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Finding the Third Proportional to 1,247.27 and 2,169.91

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Solution

The third proportional to 1,247.27 and 2,169.91 is: 3,775.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.27 : 2,169.91 = 2,169.91 : x
  2. Step 2: Convert to fraction form
    1,247.27/2,169.91 = 2,169.91/x
  3. Step 3: Cross multiply
    1,247.27x = 2,169.91 × 2,169.91
  4. Step 4: Simplify right side
    1,247.27x = 4,708,527.04
  5. Step 5: Solve for x
    x = 4,708,527.04/1,247.27
  6. Step 6: Final answer
    x = 3,775.06

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.