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Finding the Third Proportional to 419,430 and 667,149

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Solution

The third proportional to 419,430 and 667,149 is: 1,061,172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,430 : 667,149 = 667,149 : x
  2. Step 2: Convert to fraction form
    419,430/667,149 = 667,149/x
  3. Step 3: Cross multiply
    419,430x = 667,149 × 667,149
  4. Step 4: Simplify right side
    419,430x = 445,087,788,201
  5. Step 5: Solve for x
    x = 445,087,788,201/419,430
  6. Step 6: Final answer
    x = 1,061,172.99

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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.