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Finding the Third Proportional to 13.37 and 21.73

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Solution

The third proportional to 13.37 and 21.73 is: 35.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.37 : 21.73 = 21.73 : x
  2. Step 2: Convert to fraction form
    13.37/21.73 = 21.73/x
  3. Step 3: Cross multiply
    13.37x = 21.73 × 21.73
  4. Step 4: Simplify right side
    13.37x = 472.31
  5. Step 5: Solve for x
    x = 472.31/13.37
  6. Step 6: Final answer
    x = 35.32

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.