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Finding the Third Proportional to 166.78 and 380.53

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Solution

The third proportional to 166.78 and 380.53 is: 868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.78 : 380.53 = 380.53 : x
  2. Step 2: Convert to fraction form
    166.78/380.53 = 380.53/x
  3. Step 3: Cross multiply
    166.78x = 380.53 × 380.53
  4. Step 4: Simplify right side
    166.78x = 144,804.03
  5. Step 5: Solve for x
    x = 144,804.03/166.78
  6. Step 6: Final answer
    x = 868.23

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.