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Finding the Third Proportional to 5.80 and 12.76

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Solution

The third proportional to 5.80 and 12.76 is: 28.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.80 : 12.76 = 12.76 : x
  2. Step 2: Convert to fraction form
    5.80/12.76 = 12.76/x
  3. Step 3: Cross multiply
    5.80x = 12.76 × 12.76
  4. Step 4: Simplify right side
    5.80x = 162.86
  5. Step 5: Solve for x
    x = 162.86/5.80
  6. Step 6: Final answer
    x = 28.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.