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Finding the Third Proportional to 217.31 and 452.91

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Solution

The third proportional to 217.31 and 452.91 is: 943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.31 : 452.91 = 452.91 : x
  2. Step 2: Convert to fraction form
    217.31/452.91 = 452.91/x
  3. Step 3: Cross multiply
    217.31x = 452.91 × 452.91
  4. Step 4: Simplify right side
    217.31x = 205,124.07
  5. Step 5: Solve for x
    x = 205,124.07/217.31
  6. Step 6: Final answer
    x = 943.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.