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Finding the Third Proportional to 206,772.75 and 280,627.03

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Solution

The third proportional to 206,772.75 and 280,627.03 is: 380,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,772.75 : 280,627.03 = 280,627.03 : x
  2. Step 2: Convert to fraction form
    206,772.75/280,627.03 = 280,627.03/x
  3. Step 3: Cross multiply
    206,772.75x = 280,627.03 × 280,627.03
  4. Step 4: Simplify right side
    206,772.75x = 78,751,530,668.19
  5. Step 5: Solve for x
    x = 78,751,530,668.19/206,772.75
  6. Step 6: Final answer
    x = 380,860.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.