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Finding the Third Proportional to 216.42 and 506.18

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Solution

The third proportional to 216.42 and 506.18 is: 1,183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 506.18 = 506.18 : x
  2. Step 2: Convert to fraction form
    216.42/506.18 = 506.18/x
  3. Step 3: Cross multiply
    216.42x = 506.18 × 506.18
  4. Step 4: Simplify right side
    216.42x = 256,217.88
  5. Step 5: Solve for x
    x = 256,217.88/216.42
  6. Step 6: Final answer
    x = 1,183.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.