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Finding the Third Proportional to 201,145 and 418,975

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Solution

The third proportional to 201,145 and 418,975 is: 872,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,145 : 418,975 = 418,975 : x
  2. Step 2: Convert to fraction form
    201,145/418,975 = 418,975/x
  3. Step 3: Cross multiply
    201,145x = 418,975 × 418,975
  4. Step 4: Simplify right side
    201,145x = 175,540,050,625
  5. Step 5: Solve for x
    x = 175,540,050,625/201,145
  6. Step 6: Final answer
    x = 872,704.02

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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.