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Finding the Third Proportional to 220.78 and 414.52

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Solution

The third proportional to 220.78 and 414.52 is: 778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.78 : 414.52 = 414.52 : x
  2. Step 2: Convert to fraction form
    220.78/414.52 = 414.52/x
  3. Step 3: Cross multiply
    220.78x = 414.52 × 414.52
  4. Step 4: Simplify right side
    220.78x = 171,823.20
  5. Step 5: Solve for x
    x = 171,823.20/220.78
  6. Step 6: Final answer
    x = 778.25

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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.