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Finding the Third Proportional to 6.42 and 13.64

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Solution

The third proportional to 6.42 and 13.64 is: 28.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.42 : 13.64 = 13.64 : x
  2. Step 2: Convert to fraction form
    6.42/13.64 = 13.64/x
  3. Step 3: Cross multiply
    6.42x = 13.64 × 13.64
  4. Step 4: Simplify right side
    6.42x = 186.07
  5. Step 5: Solve for x
    x = 186.07/6.42
  6. Step 6: Final answer
    x = 28.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.