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Finding the Third Proportional to 311.75 and 506.88

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Solution

The third proportional to 311.75 and 506.88 is: 824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.75 : 506.88 = 506.88 : x
  2. Step 2: Convert to fraction form
    311.75/506.88 = 506.88/x
  3. Step 3: Cross multiply
    311.75x = 506.88 × 506.88
  4. Step 4: Simplify right side
    311.75x = 256,922.27
  5. Step 5: Solve for x
    x = 256,922.27/311.75
  6. Step 6: Final answer
    x = 824.13

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.