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Finding the Third Proportional to 421,187 and 994,279

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Solution

The third proportional to 421,187 and 994,279 is: 2,347,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,187 : 994,279 = 994,279 : x
  2. Step 2: Convert to fraction form
    421,187/994,279 = 994,279/x
  3. Step 3: Cross multiply
    421,187x = 994,279 × 994,279
  4. Step 4: Simplify right side
    421,187x = 988,590,729,841
  5. Step 5: Solve for x
    x = 988,590,729,841/421,187
  6. Step 6: Final answer
    x = 2,347,153.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.