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Finding the Third Proportional to 421,189 and 994,284

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Solution

The third proportional to 421,189 and 994,284 is: 2,347,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,189 : 994,284 = 994,284 : x
  2. Step 2: Convert to fraction form
    421,189/994,284 = 994,284/x
  3. Step 3: Cross multiply
    421,189x = 994,284 × 994,284
  4. Step 4: Simplify right side
    421,189x = 988,600,672,656
  5. Step 5: Solve for x
    x = 988,600,672,656/421,189
  6. Step 6: Final answer
    x = 2,347,166.41

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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.