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Finding the Third Proportional to 189.56 and 422.16

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Solution

The third proportional to 189.56 and 422.16 is: 940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.56 : 422.16 = 422.16 : x
  2. Step 2: Convert to fraction form
    189.56/422.16 = 422.16/x
  3. Step 3: Cross multiply
    189.56x = 422.16 × 422.16
  4. Step 4: Simplify right side
    189.56x = 178,215.90
  5. Step 5: Solve for x
    x = 178,215.90/189.56
  6. Step 6: Final answer
    x = 940.14

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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.