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Finding the Third Proportional to 189.14 and 422.58

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Solution

The third proportional to 189.14 and 422.58 is: 944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.14 : 422.58 = 422.58 : x
  2. Step 2: Convert to fraction form
    189.14/422.58 = 422.58/x
  3. Step 3: Cross multiply
    189.14x = 422.58 × 422.58
  4. Step 4: Simplify right side
    189.14x = 178,572.27
  5. Step 5: Solve for x
    x = 178,572.27/189.14
  6. Step 6: Final answer
    x = 944.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.