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Finding the Third Proportional to 278,544 and 418,434

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Solution

The third proportional to 278,544 and 418,434 is: 628,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,544 : 418,434 = 418,434 : x
  2. Step 2: Convert to fraction form
    278,544/418,434 = 418,434/x
  3. Step 3: Cross multiply
    278,544x = 418,434 × 418,434
  4. Step 4: Simplify right side
    278,544x = 175,087,012,356
  5. Step 5: Solve for x
    x = 175,087,012,356/278,544
  6. Step 6: Final answer
    x = 628,579.37

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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.