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Finding the Third Proportional to 318.75 and 475.25

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Solution

The third proportional to 318.75 and 475.25 is: 708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.75 : 475.25 = 475.25 : x
  2. Step 2: Convert to fraction form
    318.75/475.25 = 475.25/x
  3. Step 3: Cross multiply
    318.75x = 475.25 × 475.25
  4. Step 4: Simplify right side
    318.75x = 225,862.56
  5. Step 5: Solve for x
    x = 225,862.56/318.75
  6. Step 6: Final answer
    x = 708.59

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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.