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Finding the Third Proportional to 14.09 and 20.64

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Solution

The third proportional to 14.09 and 20.64 is: 30.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.09 : 20.64 = 20.64 : x
  2. Step 2: Convert to fraction form
    14.09/20.64 = 20.64/x
  3. Step 3: Cross multiply
    14.09x = 20.64 × 20.64
  4. Step 4: Simplify right side
    14.09x = 425.89
  5. Step 5: Solve for x
    x = 425.89/14.09
  6. Step 6: Final answer
    x = 30.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.