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Finding the Third Proportional to 203,916 and 422,168

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Solution

The third proportional to 203,916 and 422,168 is: 874,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,916 : 422,168 = 422,168 : x
  2. Step 2: Convert to fraction form
    203,916/422,168 = 422,168/x
  3. Step 3: Cross multiply
    203,916x = 422,168 × 422,168
  4. Step 4: Simplify right side
    203,916x = 178,225,820,224
  5. Step 5: Solve for x
    x = 178,225,820,224/203,916
  6. Step 6: Final answer
    x = 874,015.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.