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Finding the Third Proportional to 201,162 and 418,859

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Solution

The third proportional to 201,162 and 418,859 is: 872,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,162 : 418,859 = 418,859 : x
  2. Step 2: Convert to fraction form
    201,162/418,859 = 418,859/x
  3. Step 3: Cross multiply
    201,162x = 418,859 × 418,859
  4. Step 4: Simplify right side
    201,162x = 175,442,861,881
  5. Step 5: Solve for x
    x = 175,442,861,881/201,162
  6. Step 6: Final answer
    x = 872,147.13

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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.