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Finding the Third Proportional to 201,242 and 419,020

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Solution

The third proportional to 201,242 and 419,020 is: 872,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,242 : 419,020 = 419,020 : x
  2. Step 2: Convert to fraction form
    201,242/419,020 = 419,020/x
  3. Step 3: Cross multiply
    201,242x = 419,020 × 419,020
  4. Step 4: Simplify right side
    201,242x = 175,577,760,400
  5. Step 5: Solve for x
    x = 175,577,760,400/201,242
  6. Step 6: Final answer
    x = 872,470.76

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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.