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Finding the Third Proportional to 180.77 and 374.41

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Solution

The third proportional to 180.77 and 374.41 is: 775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.77 : 374.41 = 374.41 : x
  2. Step 2: Convert to fraction form
    180.77/374.41 = 374.41/x
  3. Step 3: Cross multiply
    180.77x = 374.41 × 374.41
  4. Step 4: Simplify right side
    180.77x = 140,185.89
  5. Step 5: Solve for x
    x = 140,185.89/180.77
  6. Step 6: Final answer
    x = 775.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.