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Finding the Third Proportional to 183.20 and 423.83

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Solution

The third proportional to 183.20 and 423.83 is: 980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.20 : 423.83 = 423.83 : x
  2. Step 2: Convert to fraction form
    183.20/423.83 = 423.83/x
  3. Step 3: Cross multiply
    183.20x = 423.83 × 423.83
  4. Step 4: Simplify right side
    183.20x = 179,628.62
  5. Step 5: Solve for x
    x = 179,628.62/183.20
  6. Step 6: Final answer
    x = 980.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.