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Finding the Third Proportional to 201,145 and 418,825

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Solution

The third proportional to 201,145 and 418,825 is: 872,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,145 : 418,825 = 418,825 : x
  2. Step 2: Convert to fraction form
    201,145/418,825 = 418,825/x
  3. Step 3: Cross multiply
    201,145x = 418,825 × 418,825
  4. Step 4: Simplify right side
    201,145x = 175,414,380,625
  5. Step 5: Solve for x
    x = 175,414,380,625/201,145
  6. Step 6: Final answer
    x = 872,079.25

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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.