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Finding the Third Proportional to 201,181 and 418,729

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Solution

The third proportional to 201,181 and 418,729 is: 871,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,181 : 418,729 = 418,729 : x
  2. Step 2: Convert to fraction form
    201,181/418,729 = 418,729/x
  3. Step 3: Cross multiply
    201,181x = 418,729 × 418,729
  4. Step 4: Simplify right side
    201,181x = 175,333,975,441
  5. Step 5: Solve for x
    x = 175,333,975,441/201,181
  6. Step 6: Final answer
    x = 871,523.53

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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.