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Finding the Third Proportional to 183.66 and 407.81

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Solution

The third proportional to 183.66 and 407.81 is: 905.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.66 : 407.81 = 407.81 : x
  2. Step 2: Convert to fraction form
    183.66/407.81 = 407.81/x
  3. Step 3: Cross multiply
    183.66x = 407.81 × 407.81
  4. Step 4: Simplify right side
    183.66x = 166,311.04
  5. Step 5: Solve for x
    x = 166,311.04/183.66
  6. Step 6: Final answer
    x = 905.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.