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Finding the Third Proportional to 188,677 and 280,450

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Solution

The third proportional to 188,677 and 280,450 is: 416,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,677 : 280,450 = 280,450 : x
  2. Step 2: Convert to fraction form
    188,677/280,450 = 280,450/x
  3. Step 3: Cross multiply
    188,677x = 280,450 × 280,450
  4. Step 4: Simplify right side
    188,677x = 78,652,202,500
  5. Step 5: Solve for x
    x = 78,652,202,500/188,677
  6. Step 6: Final answer
    x = 416,861.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.