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Finding the Third Proportional to 135,756 and 280,824

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Solution

The third proportional to 135,756 and 280,824 is: 580,910.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,756 : 280,824 = 280,824 : x
  2. Step 2: Convert to fraction form
    135,756/280,824 = 280,824/x
  3. Step 3: Cross multiply
    135,756x = 280,824 × 280,824
  4. Step 4: Simplify right side
    135,756x = 78,862,118,976
  5. Step 5: Solve for x
    x = 78,862,118,976/135,756
  6. Step 6: Final answer
    x = 580,910.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.