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Finding the Third Proportional to 361.22 and 776.34

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Solution

The third proportional to 361.22 and 776.34 is: 1,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.22 : 776.34 = 776.34 : x
  2. Step 2: Convert to fraction form
    361.22/776.34 = 776.34/x
  3. Step 3: Cross multiply
    361.22x = 776.34 × 776.34
  4. Step 4: Simplify right side
    361.22x = 602,709.62
  5. Step 5: Solve for x
    x = 602,709.62/361.22
  6. Step 6: Final answer
    x = 1,668.54

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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.