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Finding the Third Proportional to 179.31 and 274.06

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Solution

The third proportional to 179.31 and 274.06 is: 418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.31 : 274.06 = 274.06 : x
  2. Step 2: Convert to fraction form
    179.31/274.06 = 274.06/x
  3. Step 3: Cross multiply
    179.31x = 274.06 × 274.06
  4. Step 4: Simplify right side
    179.31x = 75,110.25
  5. Step 5: Solve for x
    x = 75,110.25/179.31
  6. Step 6: Final answer
    x = 418.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.