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Finding the Third Proportional to 217.31 and 464.44

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Solution

The third proportional to 217.31 and 464.44 is: 992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.31 : 464.44 = 464.44 : x
  2. Step 2: Convert to fraction form
    217.31/464.44 = 464.44/x
  3. Step 3: Cross multiply
    217.31x = 464.44 × 464.44
  4. Step 4: Simplify right side
    217.31x = 215,702.19
  5. Step 5: Solve for x
    x = 215,702.19/217.31
  6. Step 6: Final answer
    x = 992.59

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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.