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Finding the Third Proportional to 277,204 and 421,638

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Solution

The third proportional to 277,204 and 421,638 is: 641,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,204 : 421,638 = 421,638 : x
  2. Step 2: Convert to fraction form
    277,204/421,638 = 421,638/x
  3. Step 3: Cross multiply
    277,204x = 421,638 × 421,638
  4. Step 4: Simplify right side
    277,204x = 177,778,603,044
  5. Step 5: Solve for x
    x = 177,778,603,044/277,204
  6. Step 6: Final answer
    x = 641,327.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.