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Finding the Third Proportional to 104.34 and 219.47

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Solution

The third proportional to 104.34 and 219.47 is: 461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.34 : 219.47 = 219.47 : x
  2. Step 2: Convert to fraction form
    104.34/219.47 = 219.47/x
  3. Step 3: Cross multiply
    104.34x = 219.47 × 219.47
  4. Step 4: Simplify right side
    104.34x = 48,166.53
  5. Step 5: Solve for x
    x = 48,166.53/104.34
  6. Step 6: Final answer
    x = 461.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.