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Finding the Third Proportional to 8.34 and 18.22

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Solution

The third proportional to 8.34 and 18.22 is: 39.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.34 : 18.22 = 18.22 : x
  2. Step 2: Convert to fraction form
    8.34/18.22 = 18.22/x
  3. Step 3: Cross multiply
    8.34x = 18.22 × 18.22
  4. Step 4: Simplify right side
    8.34x = 331.99
  5. Step 5: Solve for x
    x = 331.99/8.34
  6. Step 6: Final answer
    x = 39.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.