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Finding the Third Proportional to 42,121 and 91,622

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Solution

The third proportional to 42,121 and 91,622 is: 199,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,121 : 91,622 = 91,622 : x
  2. Step 2: Convert to fraction form
    42,121/91,622 = 91,622/x
  3. Step 3: Cross multiply
    42,121x = 91,622 × 91,622
  4. Step 4: Simplify right side
    42,121x = 8,394,590,884
  5. Step 5: Solve for x
    x = 8,394,590,884/42,121
  6. Step 6: Final answer
    x = 199,297.05

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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.