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Finding the Third Proportional to 201,118 and 418,771

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Solution

The third proportional to 201,118 and 418,771 is: 871,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,118 : 418,771 = 418,771 : x
  2. Step 2: Convert to fraction form
    201,118/418,771 = 418,771/x
  3. Step 3: Cross multiply
    201,118x = 418,771 × 418,771
  4. Step 4: Simplify right side
    201,118x = 175,369,150,441
  5. Step 5: Solve for x
    x = 175,369,150,441/201,118
  6. Step 6: Final answer
    x = 871,971.43

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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.