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Finding the Third Proportional to 2.80 and 5.76

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Solution

The third proportional to 2.80 and 5.76 is: 11.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.80 : 5.76 = 5.76 : x
  2. Step 2: Convert to fraction form
    2.80/5.76 = 5.76/x
  3. Step 3: Cross multiply
    2.80x = 5.76 × 5.76
  4. Step 4: Simplify right side
    2.80x = 33.14
  5. Step 5: Solve for x
    x = 33.14/2.80
  6. Step 6: Final answer
    x = 11.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.