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Finding the Third Proportional to 105.42 and 218.95

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Solution

The third proportional to 105.42 and 218.95 is: 454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.42 : 218.95 = 218.95 : x
  2. Step 2: Convert to fraction form
    105.42/218.95 = 218.95/x
  3. Step 3: Cross multiply
    105.42x = 218.95 × 218.95
  4. Step 4: Simplify right side
    105.42x = 47,937.76
  5. Step 5: Solve for x
    x = 47,937.76/105.42
  6. Step 6: Final answer
    x = 454.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.