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Finding the Third Proportional to 166.08 and 356.34

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Solution

The third proportional to 166.08 and 356.34 is: 764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.08 : 356.34 = 356.34 : x
  2. Step 2: Convert to fraction form
    166.08/356.34 = 356.34/x
  3. Step 3: Cross multiply
    166.08x = 356.34 × 356.34
  4. Step 4: Simplify right side
    166.08x = 126,980.87
  5. Step 5: Solve for x
    x = 126,980.87/166.08
  6. Step 6: Final answer
    x = 764.59

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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.