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Finding the Third Proportional to 6.72 and 14.32

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Solution

The third proportional to 6.72 and 14.32 is: 30.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.72 : 14.32 = 14.32 : x
  2. Step 2: Convert to fraction form
    6.72/14.32 = 14.32/x
  3. Step 3: Cross multiply
    6.72x = 14.32 × 14.32
  4. Step 4: Simplify right side
    6.72x = 204.99
  5. Step 5: Solve for x
    x = 204.99/6.72
  6. Step 6: Final answer
    x = 30.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.