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Finding the Third Proportional to 419,433 and 667,154

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Solution

The third proportional to 419,433 and 667,154 is: 1,061,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,433 : 667,154 = 667,154 : x
  2. Step 2: Convert to fraction form
    419,433/667,154 = 667,154/x
  3. Step 3: Cross multiply
    419,433x = 667,154 × 667,154
  4. Step 4: Simplify right side
    419,433x = 445,094,459,716
  5. Step 5: Solve for x
    x = 445,094,459,716/419,433
  6. Step 6: Final answer
    x = 1,061,181.31

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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.