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Finding the Third Proportional to 208,057 and 451,380

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Solution

The third proportional to 208,057 and 451,380 is: 979,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,057 : 451,380 = 451,380 : x
  2. Step 2: Convert to fraction form
    208,057/451,380 = 451,380/x
  3. Step 3: Cross multiply
    208,057x = 451,380 × 451,380
  4. Step 4: Simplify right side
    208,057x = 203,743,904,400
  5. Step 5: Solve for x
    x = 203,743,904,400/208,057
  6. Step 6: Final answer
    x = 979,269.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.