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Finding the Third Proportional to 6.22 and 9.10

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Solution

The third proportional to 6.22 and 9.10 is: 13.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.22 : 9.10 = 9.10 : x
  2. Step 2: Convert to fraction form
    6.22/9.10 = 9.10/x
  3. Step 3: Cross multiply
    6.22x = 9.10 × 9.10
  4. Step 4: Simplify right side
    6.22x = 82.87
  5. Step 5: Solve for x
    x = 82.87/6.22
  6. Step 6: Final answer
    x = 13.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.