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Finding the Third Proportional to 137,635 and 303,211

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Solution

The third proportional to 137,635 and 303,211 is: 667,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,635 : 303,211 = 303,211 : x
  2. Step 2: Convert to fraction form
    137,635/303,211 = 303,211/x
  3. Step 3: Cross multiply
    137,635x = 303,211 × 303,211
  4. Step 4: Simplify right side
    137,635x = 91,936,910,521
  5. Step 5: Solve for x
    x = 91,936,910,521/137,635
  6. Step 6: Final answer
    x = 667,976.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.