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Finding the Third Proportional to 84.80 and 184.31

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Solution

The third proportional to 84.80 and 184.31 is: 400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.80 : 184.31 = 184.31 : x
  2. Step 2: Convert to fraction form
    84.80/184.31 = 184.31/x
  3. Step 3: Cross multiply
    84.80x = 184.31 × 184.31
  4. Step 4: Simplify right side
    84.80x = 33,968.94
  5. Step 5: Solve for x
    x = 33,968.94/84.80
  6. Step 6: Final answer
    x = 400.59

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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.