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Finding the Third Proportional to 419,436 and 667,159

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Solution

The third proportional to 419,436 and 667,159 is: 1,061,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,436 : 667,159 = 667,159 : x
  2. Step 2: Convert to fraction form
    419,436/667,159 = 667,159/x
  3. Step 3: Cross multiply
    419,436x = 667,159 × 667,159
  4. Step 4: Simplify right side
    419,436x = 445,101,131,281
  5. Step 5: Solve for x
    x = 445,101,131,281/419,436
  6. Step 6: Final answer
    x = 1,061,189.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.