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Finding the Third Proportional to 2,288.80 and 3,091.13

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Solution

The third proportional to 2,288.80 and 3,091.13 is: 4,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.80 : 3,091.13 = 3,091.13 : x
  2. Step 2: Convert to fraction form
    2,288.80/3,091.13 = 3,091.13/x
  3. Step 3: Cross multiply
    2,288.80x = 3,091.13 × 3,091.13
  4. Step 4: Simplify right side
    2,288.80x = 9,555,089.99
  5. Step 5: Solve for x
    x = 9,555,089.99/2,288.80
  6. Step 6: Final answer
    x = 4,174.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.