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Finding the Third Proportional to 366.40 and 806.84

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Solution

The third proportional to 366.40 and 806.84 is: 1,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.40 : 806.84 = 806.84 : x
  2. Step 2: Convert to fraction form
    366.40/806.84 = 806.84/x
  3. Step 3: Cross multiply
    366.40x = 806.84 × 806.84
  4. Step 4: Simplify right side
    366.40x = 650,984.23
  5. Step 5: Solve for x
    x = 650,984.23/366.40
  6. Step 6: Final answer
    x = 1,776.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.