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Finding the Third Proportional to 201,154 and 418,843

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Solution

The third proportional to 201,154 and 418,843 is: 872,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,154 : 418,843 = 418,843 : x
  2. Step 2: Convert to fraction form
    201,154/418,843 = 418,843/x
  3. Step 3: Cross multiply
    201,154x = 418,843 × 418,843
  4. Step 4: Simplify right side
    201,154x = 175,429,458,649
  5. Step 5: Solve for x
    x = 175,429,458,649/201,154
  6. Step 6: Final answer
    x = 872,115.19

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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.