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Finding the Third Proportional to 278,880 and 418,956

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Solution

The third proportional to 278,880 and 418,956 is: 629,389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,880 : 418,956 = 418,956 : x
  2. Step 2: Convert to fraction form
    278,880/418,956 = 418,956/x
  3. Step 3: Cross multiply
    278,880x = 418,956 × 418,956
  4. Step 4: Simplify right side
    278,880x = 175,524,129,936
  5. Step 5: Solve for x
    x = 175,524,129,936/278,880
  6. Step 6: Final answer
    x = 629,389.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.