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Finding the Third Proportional to 5.91 and 12.76

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Solution

The third proportional to 5.91 and 12.76 is: 27.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.91 : 12.76 = 12.76 : x
  2. Step 2: Convert to fraction form
    5.91/12.76 = 12.76/x
  3. Step 3: Cross multiply
    5.91x = 12.76 × 12.76
  4. Step 4: Simplify right side
    5.91x = 162.86
  5. Step 5: Solve for x
    x = 162.86/5.91
  6. Step 6: Final answer
    x = 27.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.