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Finding the Third Proportional to 199,826 and 418,126

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Solution

The third proportional to 199,826 and 418,126 is: 874,907.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,826 : 418,126 = 418,126 : x
  2. Step 2: Convert to fraction form
    199,826/418,126 = 418,126/x
  3. Step 3: Cross multiply
    199,826x = 418,126 × 418,126
  4. Step 4: Simplify right side
    199,826x = 174,829,351,876
  5. Step 5: Solve for x
    x = 174,829,351,876/199,826
  6. Step 6: Final answer
    x = 874,907.93

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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.