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Finding the Third Proportional to 103.84 and 204.69

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Solution

The third proportional to 103.84 and 204.69 is: 403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.84 : 204.69 = 204.69 : x
  2. Step 2: Convert to fraction form
    103.84/204.69 = 204.69/x
  3. Step 3: Cross multiply
    103.84x = 204.69 × 204.69
  4. Step 4: Simplify right side
    103.84x = 41,896.97
  5. Step 5: Solve for x
    x = 41,896.97/103.84
  6. Step 6: Final answer
    x = 403.46

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.