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Finding the Third Proportional to 84.23 and 183.80

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Solution

The third proportional to 84.23 and 183.80 is: 401.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.23 : 183.80 = 183.80 : x
  2. Step 2: Convert to fraction form
    84.23/183.80 = 183.80/x
  3. Step 3: Cross multiply
    84.23x = 183.80 × 183.80
  4. Step 4: Simplify right side
    84.23x = 33,781.29
  5. Step 5: Solve for x
    x = 33,781.29/84.23
  6. Step 6: Final answer
    x = 401.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.