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Finding the Third Proportional to 165.64 and 356.27

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Solution

The third proportional to 165.64 and 356.27 is: 766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.64 : 356.27 = 356.27 : x
  2. Step 2: Convert to fraction form
    165.64/356.27 = 356.27/x
  3. Step 3: Cross multiply
    165.64x = 356.27 × 356.27
  4. Step 4: Simplify right side
    165.64x = 126,930.76
  5. Step 5: Solve for x
    x = 126,930.76/165.64
  6. Step 6: Final answer
    x = 766.31

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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.