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Finding the Third Proportional to 199,821 and 418,116

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Solution

The third proportional to 199,821 and 418,116 is: 874,887.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,821 : 418,116 = 418,116 : x
  2. Step 2: Convert to fraction form
    199,821/418,116 = 418,116/x
  3. Step 3: Cross multiply
    199,821x = 418,116 × 418,116
  4. Step 4: Simplify right side
    199,821x = 174,820,989,456
  5. Step 5: Solve for x
    x = 174,820,989,456/199,821
  6. Step 6: Final answer
    x = 874,887.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.