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Finding the Third Proportional to 168,153 and 280,255

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Solution

The third proportional to 168,153 and 280,255 is: 467,091.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,153 : 280,255 = 280,255 : x
  2. Step 2: Convert to fraction form
    168,153/280,255 = 280,255/x
  3. Step 3: Cross multiply
    168,153x = 280,255 × 280,255
  4. Step 4: Simplify right side
    168,153x = 78,542,865,025
  5. Step 5: Solve for x
    x = 78,542,865,025/168,153
  6. Step 6: Final answer
    x = 467,091.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.