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Finding the Third Proportional to 189.66 and 406.59

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Solution

The third proportional to 189.66 and 406.59 is: 871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.66 : 406.59 = 406.59 : x
  2. Step 2: Convert to fraction form
    189.66/406.59 = 406.59/x
  3. Step 3: Cross multiply
    189.66x = 406.59 × 406.59
  4. Step 4: Simplify right side
    189.66x = 165,318.48
  5. Step 5: Solve for x
    x = 165,318.48/189.66
  6. Step 6: Final answer
    x = 871.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.