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Finding the Third Proportional to 210,843 and 451,818

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Solution

The third proportional to 210,843 and 451,818 is: 968,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,843 : 451,818 = 451,818 : x
  2. Step 2: Convert to fraction form
    210,843/451,818 = 451,818/x
  3. Step 3: Cross multiply
    210,843x = 451,818 × 451,818
  4. Step 4: Simplify right side
    210,843x = 204,139,505,124
  5. Step 5: Solve for x
    x = 204,139,505,124/210,843
  6. Step 6: Final answer
    x = 968,206.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.