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Finding the Third Proportional to 189 and 398.81

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Solution

The third proportional to 189 and 398.81 is: 841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 398.81 = 398.81 : x
  2. Step 2: Convert to fraction form
    189/398.81 = 398.81/x
  3. Step 3: Cross multiply
    189x = 398.81 × 398.81
  4. Step 4: Simplify right side
    189x = 159,051.41
  5. Step 5: Solve for x
    x = 159,051.41/189
  6. Step 6: Final answer
    x = 841.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.