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Finding the Third Proportional to 277,638 and 617,388

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Solution

The third proportional to 277,638 and 617,388 is: 1,372,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,638 : 617,388 = 617,388 : x
  2. Step 2: Convert to fraction form
    277,638/617,388 = 617,388/x
  3. Step 3: Cross multiply
    277,638x = 617,388 × 617,388
  4. Step 4: Simplify right side
    277,638x = 381,167,942,544
  5. Step 5: Solve for x
    x = 381,167,942,544/277,638
  6. Step 6: Final answer
    x = 1,372,895.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.