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Finding the Third Proportional to 422.28 and 986.56

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Solution

The third proportional to 422.28 and 986.56 is: 2,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.28 : 986.56 = 986.56 : x
  2. Step 2: Convert to fraction form
    422.28/986.56 = 986.56/x
  3. Step 3: Cross multiply
    422.28x = 986.56 × 986.56
  4. Step 4: Simplify right side
    422.28x = 973,305.57
  5. Step 5: Solve for x
    x = 973,305.57/422.28
  6. Step 6: Final answer
    x = 2,304.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.