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Finding the Third Proportional to 198,807 and 426,006

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Solution

The third proportional to 198,807 and 426,006 is: 912,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,807 : 426,006 = 426,006 : x
  2. Step 2: Convert to fraction form
    198,807/426,006 = 426,006/x
  3. Step 3: Cross multiply
    198,807x = 426,006 × 426,006
  4. Step 4: Simplify right side
    198,807x = 181,481,112,036
  5. Step 5: Solve for x
    x = 181,481,112,036/198,807
  6. Step 6: Final answer
    x = 912,850.71

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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.