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Finding the Third Proportional to 180,162 and 280,449

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Solution

The third proportional to 180,162 and 280,449 is: 436,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,162 : 280,449 = 280,449 : x
  2. Step 2: Convert to fraction form
    180,162/280,449 = 280,449/x
  3. Step 3: Cross multiply
    180,162x = 280,449 × 280,449
  4. Step 4: Simplify right side
    180,162x = 78,651,641,601
  5. Step 5: Solve for x
    x = 78,651,641,601/180,162
  6. Step 6: Final answer
    x = 436,560.66

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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.