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Finding the Third Proportional to 201,245 and 419,025

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Solution

The third proportional to 201,245 and 419,025 is: 872,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,245 : 419,025 = 419,025 : x
  2. Step 2: Convert to fraction form
    201,245/419,025 = 419,025/x
  3. Step 3: Cross multiply
    201,245x = 419,025 × 419,025
  4. Step 4: Simplify right side
    201,245x = 175,581,950,625
  5. Step 5: Solve for x
    x = 175,581,950,625/201,245
  6. Step 6: Final answer
    x = 872,478.57

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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.