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Finding the Third Proportional to 277,728 and 605,634

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Solution

The third proportional to 277,728 and 605,634 is: 1,320,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,728 : 605,634 = 605,634 : x
  2. Step 2: Convert to fraction form
    277,728/605,634 = 605,634/x
  3. Step 3: Cross multiply
    277,728x = 605,634 × 605,634
  4. Step 4: Simplify right side
    277,728x = 366,792,541,956
  5. Step 5: Solve for x
    x = 366,792,541,956/277,728
  6. Step 6: Final answer
    x = 1,320,689.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.