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Finding the Third Proportional to 277,633 and 419,867

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Solution

The third proportional to 277,633 and 419,867 is: 634,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,633 : 419,867 = 419,867 : x
  2. Step 2: Convert to fraction form
    277,633/419,867 = 419,867/x
  3. Step 3: Cross multiply
    277,633x = 419,867 × 419,867
  4. Step 4: Simplify right side
    277,633x = 176,288,297,689
  5. Step 5: Solve for x
    x = 176,288,297,689/277,633
  6. Step 6: Final answer
    x = 634,968.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.