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Finding the Third Proportional to 319.15 and 496.97

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Solution

The third proportional to 319.15 and 496.97 is: 773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.15 : 496.97 = 496.97 : x
  2. Step 2: Convert to fraction form
    319.15/496.97 = 496.97/x
  3. Step 3: Cross multiply
    319.15x = 496.97 × 496.97
  4. Step 4: Simplify right side
    319.15x = 246,977.94
  5. Step 5: Solve for x
    x = 246,977.94/319.15
  6. Step 6: Final answer
    x = 773.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.