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Finding the Third Proportional to 13.96 and 19.64

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Solution

The third proportional to 13.96 and 19.64 is: 27.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.96 : 19.64 = 19.64 : x
  2. Step 2: Convert to fraction form
    13.96/19.64 = 19.64/x
  3. Step 3: Cross multiply
    13.96x = 19.64 × 19.64
  4. Step 4: Simplify right side
    13.96x = 385.76
  5. Step 5: Solve for x
    x = 385.76/13.96
  6. Step 6: Final answer
    x = 27.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.