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Finding the Third Proportional to 201,178 and 418,888

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Solution

The third proportional to 201,178 and 418,888 is: 872,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,178 : 418,888 = 418,888 : x
  2. Step 2: Convert to fraction form
    201,178/418,888 = 418,888/x
  3. Step 3: Cross multiply
    201,178x = 418,888 × 418,888
  4. Step 4: Simplify right side
    201,178x = 175,467,156,544
  5. Step 5: Solve for x
    x = 175,467,156,544/201,178
  6. Step 6: Final answer
    x = 872,198.53

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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.