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Finding the Third Proportional to 12.36 and 18.37

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Solution

The third proportional to 12.36 and 18.37 is: 27.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.36 : 18.37 = 18.37 : x
  2. Step 2: Convert to fraction form
    12.36/18.37 = 18.37/x
  3. Step 3: Cross multiply
    12.36x = 18.37 × 18.37
  4. Step 4: Simplify right side
    12.36x = 337.52
  5. Step 5: Solve for x
    x = 337.52/12.36
  6. Step 6: Final answer
    x = 27.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.