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Finding the Third Proportional to 27,198 and 42,027

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Solution

The third proportional to 27,198 and 42,027 is: 64,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,198 : 42,027 = 42,027 : x
  2. Step 2: Convert to fraction form
    27,198/42,027 = 42,027/x
  3. Step 3: Cross multiply
    27,198x = 42,027 × 42,027
  4. Step 4: Simplify right side
    27,198x = 1,766,268,729
  5. Step 5: Solve for x
    x = 1,766,268,729/27,198
  6. Step 6: Final answer
    x = 64,941.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.