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Finding the Third Proportional to 218.64 and 506.57

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Solution

The third proportional to 218.64 and 506.57 is: 1,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.64 : 506.57 = 506.57 : x
  2. Step 2: Convert to fraction form
    218.64/506.57 = 506.57/x
  3. Step 3: Cross multiply
    218.64x = 506.57 × 506.57
  4. Step 4: Simplify right side
    218.64x = 256,609.52
  5. Step 5: Solve for x
    x = 256,609.52/218.64
  6. Step 6: Final answer
    x = 1,173.68

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.