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Finding the Third Proportional to 5.82 and 12.51

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Solution

The third proportional to 5.82 and 12.51 is: 26.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.82 : 12.51 = 12.51 : x
  2. Step 2: Convert to fraction form
    5.82/12.51 = 12.51/x
  3. Step 3: Cross multiply
    5.82x = 12.51 × 12.51
  4. Step 4: Simplify right side
    5.82x = 156.42
  5. Step 5: Solve for x
    x = 156.42/5.82
  6. Step 6: Final answer
    x = 26.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.