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Finding the Third Proportional to 12.58 and 18.27

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Solution

The third proportional to 12.58 and 18.27 is: 26.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.58 : 18.27 = 18.27 : x
  2. Step 2: Convert to fraction form
    12.58/18.27 = 18.27/x
  3. Step 3: Cross multiply
    12.58x = 18.27 × 18.27
  4. Step 4: Simplify right side
    12.58x = 333.88
  5. Step 5: Solve for x
    x = 333.88/12.58
  6. Step 6: Final answer
    x = 26.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.