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Finding the Third Proportional to 419,432 and 667,152

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Solution

The third proportional to 419,432 and 667,152 is: 1,061,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,432 : 667,152 = 667,152 : x
  2. Step 2: Convert to fraction form
    419,432/667,152 = 667,152/x
  3. Step 3: Cross multiply
    419,432x = 667,152 × 667,152
  4. Step 4: Simplify right side
    419,432x = 445,091,791,104
  5. Step 5: Solve for x
    x = 445,091,791,104/419,432
  6. Step 6: Final answer
    x = 1,061,177.48

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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.