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Finding the Third Proportional to 170.78 and 366.44

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Solution

The third proportional to 170.78 and 366.44 is: 786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.78 : 366.44 = 366.44 : x
  2. Step 2: Convert to fraction form
    170.78/366.44 = 366.44/x
  3. Step 3: Cross multiply
    170.78x = 366.44 × 366.44
  4. Step 4: Simplify right side
    170.78x = 134,276.80
  5. Step 5: Solve for x
    x = 134,276.80/170.78
  6. Step 6: Final answer
    x = 786.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.