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Finding the Third Proportional to 217.69 and 514.97

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Solution

The third proportional to 217.69 and 514.97 is: 1,218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.69 : 514.97 = 514.97 : x
  2. Step 2: Convert to fraction form
    217.69/514.97 = 514.97/x
  3. Step 3: Cross multiply
    217.69x = 514.97 × 514.97
  4. Step 4: Simplify right side
    217.69x = 265,192.81
  5. Step 5: Solve for x
    x = 265,192.81/217.69
  6. Step 6: Final answer
    x = 1,218.23

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.