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Finding the Third Proportional to 210,208 and 451,520

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Solution

The third proportional to 210,208 and 451,520 is: 969,850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,208 : 451,520 = 451,520 : x
  2. Step 2: Convert to fraction form
    210,208/451,520 = 451,520/x
  3. Step 3: Cross multiply
    210,208x = 451,520 × 451,520
  4. Step 4: Simplify right side
    210,208x = 203,870,310,400
  5. Step 5: Solve for x
    x = 203,870,310,400/210,208
  6. Step 6: Final answer
    x = 969,850.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.