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Finding the Third Proportional to 201,218 and 418,936

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Solution

The third proportional to 201,218 and 418,936 is: 872,225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,218 : 418,936 = 418,936 : x
  2. Step 2: Convert to fraction form
    201,218/418,936 = 418,936/x
  3. Step 3: Cross multiply
    201,218x = 418,936 × 418,936
  4. Step 4: Simplify right side
    201,218x = 175,507,372,096
  5. Step 5: Solve for x
    x = 175,507,372,096/201,218
  6. Step 6: Final answer
    x = 872,225.01

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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.