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Finding the Third Proportional to 6.38 and 14.16

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Solution

The third proportional to 6.38 and 14.16 is: 31.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.38 : 14.16 = 14.16 : x
  2. Step 2: Convert to fraction form
    6.38/14.16 = 14.16/x
  3. Step 3: Cross multiply
    6.38x = 14.16 × 14.16
  4. Step 4: Simplify right side
    6.38x = 200.40
  5. Step 5: Solve for x
    x = 200.40/6.38
  6. Step 6: Final answer
    x = 31.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.