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Finding the Third Proportional to 421,184 and 994,272

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Solution

The third proportional to 421,184 and 994,272 is: 2,347,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,184 : 994,272 = 994,272 : x
  2. Step 2: Convert to fraction form
    421,184/994,272 = 994,272/x
  3. Step 3: Cross multiply
    421,184x = 994,272 × 994,272
  4. Step 4: Simplify right side
    421,184x = 988,576,809,984
  5. Step 5: Solve for x
    x = 988,576,809,984/421,184
  6. Step 6: Final answer
    x = 2,347,137.62

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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.