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Finding the Third Proportional to 189.37 and 263.41

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Solution

The third proportional to 189.37 and 263.41 is: 366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.37 : 263.41 = 263.41 : x
  2. Step 2: Convert to fraction form
    189.37/263.41 = 263.41/x
  3. Step 3: Cross multiply
    189.37x = 263.41 × 263.41
  4. Step 4: Simplify right side
    189.37x = 69,383.88
  5. Step 5: Solve for x
    x = 69,383.88/189.37
  6. Step 6: Final answer
    x = 366.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.