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Finding the Third Proportional to 201,186 and 418,884

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Solution

The third proportional to 201,186 and 418,884 is: 872,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,186 : 418,884 = 418,884 : x
  2. Step 2: Convert to fraction form
    201,186/418,884 = 418,884/x
  3. Step 3: Cross multiply
    201,186x = 418,884 × 418,884
  4. Step 4: Simplify right side
    201,186x = 175,463,805,456
  5. Step 5: Solve for x
    x = 175,463,805,456/201,186
  6. Step 6: Final answer
    x = 872,147.19

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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.