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Finding the Third Proportional to 213.94 and 459.09

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Solution

The third proportional to 213.94 and 459.09 is: 985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.94 : 459.09 = 459.09 : x
  2. Step 2: Convert to fraction form
    213.94/459.09 = 459.09/x
  3. Step 3: Cross multiply
    213.94x = 459.09 × 459.09
  4. Step 4: Simplify right side
    213.94x = 210,767.07
  5. Step 5: Solve for x
    x = 210,767.07/213.94
  6. Step 6: Final answer
    x = 985.18

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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.