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Finding the Third Proportional to 6.37 and 9.22

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Solution

The third proportional to 6.37 and 9.22 is: 13.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.37 : 9.22 = 9.22 : x
  2. Step 2: Convert to fraction form
    6.37/9.22 = 9.22/x
  3. Step 3: Cross multiply
    6.37x = 9.22 × 9.22
  4. Step 4: Simplify right side
    6.37x = 84.97
  5. Step 5: Solve for x
    x = 84.97/6.37
  6. Step 6: Final answer
    x = 13.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.