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Finding the Third Proportional to 217.13 and 313.31

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Solution

The third proportional to 217.13 and 313.31 is: 452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.13 : 313.31 = 313.31 : x
  2. Step 2: Convert to fraction form
    217.13/313.31 = 313.31/x
  3. Step 3: Cross multiply
    217.13x = 313.31 × 313.31
  4. Step 4: Simplify right side
    217.13x = 98,164.72
  5. Step 5: Solve for x
    x = 98,164.72/217.13
  6. Step 6: Final answer
    x = 452.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.