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Finding the Third Proportional to 179.06 and 275.44

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Solution

The third proportional to 179.06 and 275.44 is: 423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.06 : 275.44 = 275.44 : x
  2. Step 2: Convert to fraction form
    179.06/275.44 = 275.44/x
  3. Step 3: Cross multiply
    179.06x = 275.44 × 275.44
  4. Step 4: Simplify right side
    179.06x = 75,865.82
  5. Step 5: Solve for x
    x = 75,865.82/179.06
  6. Step 6: Final answer
    x = 423.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.