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Finding the Third Proportional to 216.28 and 464.34

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Solution

The third proportional to 216.28 and 464.34 is: 996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.28 : 464.34 = 464.34 : x
  2. Step 2: Convert to fraction form
    216.28/464.34 = 464.34/x
  3. Step 3: Cross multiply
    216.28x = 464.34 × 464.34
  4. Step 4: Simplify right side
    216.28x = 215,615.12
  5. Step 5: Solve for x
    x = 215,615.12/216.28
  6. Step 6: Final answer
    x = 996.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.