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Finding the Third Proportional to 165.16 and 338.77

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Solution

The third proportional to 165.16 and 338.77 is: 694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.16 : 338.77 = 338.77 : x
  2. Step 2: Convert to fraction form
    165.16/338.77 = 338.77/x
  3. Step 3: Cross multiply
    165.16x = 338.77 × 338.77
  4. Step 4: Simplify right side
    165.16x = 114,762.15
  5. Step 5: Solve for x
    x = 114,762.15/165.16
  6. Step 6: Final answer
    x = 694.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.