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Finding the Third Proportional to 206,888 and 426,720

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Solution

The third proportional to 206,888 and 426,720 is: 880,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,888 : 426,720 = 426,720 : x
  2. Step 2: Convert to fraction form
    206,888/426,720 = 426,720/x
  3. Step 3: Cross multiply
    206,888x = 426,720 × 426,720
  4. Step 4: Simplify right side
    206,888x = 182,089,958,400
  5. Step 5: Solve for x
    x = 182,089,958,400/206,888
  6. Step 6: Final answer
    x = 880,137.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.