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Finding the Third Proportional to 305.86 and 496.97

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Solution

The third proportional to 305.86 and 496.97 is: 807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.86 : 496.97 = 496.97 : x
  2. Step 2: Convert to fraction form
    305.86/496.97 = 496.97/x
  3. Step 3: Cross multiply
    305.86x = 496.97 × 496.97
  4. Step 4: Simplify right side
    305.86x = 246,977.94
  5. Step 5: Solve for x
    x = 246,977.94/305.86
  6. Step 6: Final answer
    x = 807.49

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.