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Finding the Third Proportional to 13.44 and 21.06

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Solution

The third proportional to 13.44 and 21.06 is: 33.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.44 : 21.06 = 21.06 : x
  2. Step 2: Convert to fraction form
    13.44/21.06 = 21.06/x
  3. Step 3: Cross multiply
    13.44x = 21.06 × 21.06
  4. Step 4: Simplify right side
    13.44x = 443.63
  5. Step 5: Solve for x
    x = 443.63/13.44
  6. Step 6: Final answer
    x = 33.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.