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Finding the Third Proportional to 279,812 and 436,467

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Solution

The third proportional to 279,812 and 436,467 is: 680,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,812 : 436,467 = 436,467 : x
  2. Step 2: Convert to fraction form
    279,812/436,467 = 436,467/x
  3. Step 3: Cross multiply
    279,812x = 436,467 × 436,467
  4. Step 4: Simplify right side
    279,812x = 190,503,442,089
  5. Step 5: Solve for x
    x = 190,503,442,089/279,812
  6. Step 6: Final answer
    x = 680,826.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.