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Finding the Third Proportional to 6.32 and 13.40

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Solution

The third proportional to 6.32 and 13.40 is: 28.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.32 : 13.40 = 13.40 : x
  2. Step 2: Convert to fraction form
    6.32/13.40 = 13.40/x
  3. Step 3: Cross multiply
    6.32x = 13.40 × 13.40
  4. Step 4: Simplify right side
    6.32x = 179.44
  5. Step 5: Solve for x
    x = 179.44/6.32
  6. Step 6: Final answer
    x = 28.41

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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.