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Finding the Third Proportional to 6.88 and 9.20

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Solution

The third proportional to 6.88 and 9.20 is: 12.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.88 : 9.20 = 9.20 : x
  2. Step 2: Convert to fraction form
    6.88/9.20 = 9.20/x
  3. Step 3: Cross multiply
    6.88x = 9.20 × 9.20
  4. Step 4: Simplify right side
    6.88x = 84.68
  5. Step 5: Solve for x
    x = 84.68/6.88
  6. Step 6: Final answer
    x = 12.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.