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Finding the Third Proportional to 14.45 and 20.36

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Solution

The third proportional to 14.45 and 20.36 is: 28.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.45 : 20.36 = 20.36 : x
  2. Step 2: Convert to fraction form
    14.45/20.36 = 20.36/x
  3. Step 3: Cross multiply
    14.45x = 20.36 × 20.36
  4. Step 4: Simplify right side
    14.45x = 414.35
  5. Step 5: Solve for x
    x = 414.35/14.45
  6. Step 6: Final answer
    x = 28.68

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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.