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Finding the Third Proportional to 311.50 and 475.63

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Solution

The third proportional to 311.50 and 475.63 is: 726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.50 : 475.63 = 475.63 : x
  2. Step 2: Convert to fraction form
    311.50/475.63 = 475.63/x
  3. Step 3: Cross multiply
    311.50x = 475.63 × 475.63
  4. Step 4: Simplify right side
    311.50x = 226,219.14
  5. Step 5: Solve for x
    x = 226,219.14/311.50
  6. Step 6: Final answer
    x = 726.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.