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Finding the Third Proportional to 200,912 and 422,512

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Solution

The third proportional to 200,912 and 422,512 is: 888,530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,912 : 422,512 = 422,512 : x
  2. Step 2: Convert to fraction form
    200,912/422,512 = 422,512/x
  3. Step 3: Cross multiply
    200,912x = 422,512 × 422,512
  4. Step 4: Simplify right side
    200,912x = 178,516,390,144
  5. Step 5: Solve for x
    x = 178,516,390,144/200,912
  6. Step 6: Final answer
    x = 888,530.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.