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Finding the Third Proportional to 201,172 and 418,868

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Solution

The third proportional to 201,172 and 418,868 is: 872,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,172 : 418,868 = 418,868 : x
  2. Step 2: Convert to fraction form
    201,172/418,868 = 418,868/x
  3. Step 3: Cross multiply
    201,172x = 418,868 × 418,868
  4. Step 4: Simplify right side
    201,172x = 175,450,401,424
  5. Step 5: Solve for x
    x = 175,450,401,424/201,172
  6. Step 6: Final answer
    x = 872,141.26

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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.