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Finding the Third Proportional to 54.73 and 119.09

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Solution

The third proportional to 54.73 and 119.09 is: 259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.73 : 119.09 = 119.09 : x
  2. Step 2: Convert to fraction form
    54.73/119.09 = 119.09/x
  3. Step 3: Cross multiply
    54.73x = 119.09 × 119.09
  4. Step 4: Simplify right side
    54.73x = 14,181.46
  5. Step 5: Solve for x
    x = 14,181.46/54.73
  6. Step 6: Final answer
    x = 259.13

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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.