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Finding the Third Proportional to 179.30 and 380.23

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Solution

The third proportional to 179.30 and 380.23 is: 806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.30 : 380.23 = 380.23 : x
  2. Step 2: Convert to fraction form
    179.30/380.23 = 380.23/x
  3. Step 3: Cross multiply
    179.30x = 380.23 × 380.23
  4. Step 4: Simplify right side
    179.30x = 144,573.98
  5. Step 5: Solve for x
    x = 144,573.98/179.30
  6. Step 6: Final answer
    x = 806.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.