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Finding the Third Proportional to 103.78 and 218.53

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Solution

The third proportional to 103.78 and 218.53 is: 460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.78 : 218.53 = 218.53 : x
  2. Step 2: Convert to fraction form
    103.78/218.53 = 218.53/x
  3. Step 3: Cross multiply
    103.78x = 218.53 × 218.53
  4. Step 4: Simplify right side
    103.78x = 47,755.91
  5. Step 5: Solve for x
    x = 47,755.91/103.78
  6. Step 6: Final answer
    x = 460.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.