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Finding the Third Proportional to 201,243 and 419,021

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Solution

The third proportional to 201,243 and 419,021 is: 872,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,243 : 419,021 = 419,021 : x
  2. Step 2: Convert to fraction form
    201,243/419,021 = 419,021/x
  3. Step 3: Cross multiply
    201,243x = 419,021 × 419,021
  4. Step 4: Simplify right side
    201,243x = 175,578,598,441
  5. Step 5: Solve for x
    x = 175,578,598,441/201,243
  6. Step 6: Final answer
    x = 872,470.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.