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Finding the Third Proportional to 319.75 and 475.94

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Solution

The third proportional to 319.75 and 475.94 is: 708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.75 : 475.94 = 475.94 : x
  2. Step 2: Convert to fraction form
    319.75/475.94 = 475.94/x
  3. Step 3: Cross multiply
    319.75x = 475.94 × 475.94
  4. Step 4: Simplify right side
    319.75x = 226,516.50
  5. Step 5: Solve for x
    x = 226,516.50/319.75
  6. Step 6: Final answer
    x = 708.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.