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Finding the Third Proportional to 366.50 and 796.25

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Solution

The third proportional to 366.50 and 796.25 is: 1,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.50 : 796.25 = 796.25 : x
  2. Step 2: Convert to fraction form
    366.50/796.25 = 796.25/x
  3. Step 3: Cross multiply
    366.50x = 796.25 × 796.25
  4. Step 4: Simplify right side
    366.50x = 634,014.06
  5. Step 5: Solve for x
    x = 634,014.06/366.50
  6. Step 6: Final answer
    x = 1,729.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.