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Finding the Third Proportional to 419,434 and 667,156

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Solution

The third proportional to 419,434 and 667,156 is: 1,061,185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,434 : 667,156 = 667,156 : x
  2. Step 2: Convert to fraction form
    419,434/667,156 = 667,156/x
  3. Step 3: Cross multiply
    419,434x = 667,156 × 667,156
  4. Step 4: Simplify right side
    419,434x = 445,097,128,336
  5. Step 5: Solve for x
    x = 445,097,128,336/419,434
  6. Step 6: Final answer
    x = 1,061,185.14

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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.