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Finding the Third Proportional to 277,992 and 447,606

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Solution

The third proportional to 277,992 and 447,606 is: 720,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,992 : 447,606 = 447,606 : x
  2. Step 2: Convert to fraction form
    277,992/447,606 = 447,606/x
  3. Step 3: Cross multiply
    277,992x = 447,606 × 447,606
  4. Step 4: Simplify right side
    277,992x = 200,351,131,236
  5. Step 5: Solve for x
    x = 200,351,131,236/277,992
  6. Step 6: Final answer
    x = 720,708.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.