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Finding the Third Proportional to 189.02 and 395.37

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Solution

The third proportional to 189.02 and 395.37 is: 826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.02 : 395.37 = 395.37 : x
  2. Step 2: Convert to fraction form
    189.02/395.37 = 395.37/x
  3. Step 3: Cross multiply
    189.02x = 395.37 × 395.37
  4. Step 4: Simplify right side
    189.02x = 156,319.85
  5. Step 5: Solve for x
    x = 156,319.85/189.02
  6. Step 6: Final answer
    x = 826.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.