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Finding the Third Proportional to 270,512 and 422,144

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Solution

The third proportional to 270,512 and 422,144 is: 658,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,512 : 422,144 = 422,144 : x
  2. Step 2: Convert to fraction form
    270,512/422,144 = 422,144/x
  3. Step 3: Cross multiply
    270,512x = 422,144 × 422,144
  4. Step 4: Simplify right side
    270,512x = 178,205,556,736
  5. Step 5: Solve for x
    x = 178,205,556,736/270,512
  6. Step 6: Final answer
    x = 658,771.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.