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Finding the Third Proportional to 311.75 and 468.63

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Solution

The third proportional to 311.75 and 468.63 is: 704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.75 : 468.63 = 468.63 : x
  2. Step 2: Convert to fraction form
    311.75/468.63 = 468.63/x
  3. Step 3: Cross multiply
    311.75x = 468.63 × 468.63
  4. Step 4: Simplify right side
    311.75x = 219,609.39
  5. Step 5: Solve for x
    x = 219,609.39/311.75
  6. Step 6: Final answer
    x = 704.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.