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Finding the Third Proportional to 27,945 and 54,485

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Solution

The third proportional to 27,945 and 54,485 is: 106,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,945 : 54,485 = 54,485 : x
  2. Step 2: Convert to fraction form
    27,945/54,485 = 54,485/x
  3. Step 3: Cross multiply
    27,945x = 54,485 × 54,485
  4. Step 4: Simplify right side
    27,945x = 2,968,615,225
  5. Step 5: Solve for x
    x = 2,968,615,225/27,945
  6. Step 6: Final answer
    x = 106,230.64

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.