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Finding the Third Proportional to 199,836 and 418,143

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Solution

The third proportional to 199,836 and 418,143 is: 874,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,836 : 418,143 = 418,143 : x
  2. Step 2: Convert to fraction form
    199,836/418,143 = 418,143/x
  3. Step 3: Cross multiply
    199,836x = 418,143 × 418,143
  4. Step 4: Simplify right side
    199,836x = 174,843,568,449
  5. Step 5: Solve for x
    x = 174,843,568,449/199,836
  6. Step 6: Final answer
    x = 874,935.29

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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.