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Finding the Third Proportional to 102.22 and 208.94

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Solution

The third proportional to 102.22 and 208.94 is: 427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.22 : 208.94 = 208.94 : x
  2. Step 2: Convert to fraction form
    102.22/208.94 = 208.94/x
  3. Step 3: Cross multiply
    102.22x = 208.94 × 208.94
  4. Step 4: Simplify right side
    102.22x = 43,654.88
  5. Step 5: Solve for x
    x = 43,654.88/102.22
  6. Step 6: Final answer
    x = 427.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.