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Finding the Third Proportional to 189.50 and 289.88

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Solution

The third proportional to 189.50 and 289.88 is: 443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.50 : 289.88 = 289.88 : x
  2. Step 2: Convert to fraction form
    189.50/289.88 = 289.88/x
  3. Step 3: Cross multiply
    189.50x = 289.88 × 289.88
  4. Step 4: Simplify right side
    189.50x = 84,027.52
  5. Step 5: Solve for x
    x = 84,027.52/189.50
  6. Step 6: Final answer
    x = 443.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.