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Finding the Third Proportional to 117.42 and 220.78

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Solution

The third proportional to 117.42 and 220.78 is: 415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.42 : 220.78 = 220.78 : x
  2. Step 2: Convert to fraction form
    117.42/220.78 = 220.78/x
  3. Step 3: Cross multiply
    117.42x = 220.78 × 220.78
  4. Step 4: Simplify right side
    117.42x = 48,744.36
  5. Step 5: Solve for x
    x = 48,744.36/117.42
  6. Step 6: Final answer
    x = 415.12

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.