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Finding the Third Proportional to 204,490 and 418,896

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Solution

The third proportional to 204,490 and 418,896 is: 858,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,490 : 418,896 = 418,896 : x
  2. Step 2: Convert to fraction form
    204,490/418,896 = 418,896/x
  3. Step 3: Cross multiply
    204,490x = 418,896 × 418,896
  4. Step 4: Simplify right side
    204,490x = 175,473,858,816
  5. Step 5: Solve for x
    x = 175,473,858,816/204,490
  6. Step 6: Final answer
    x = 858,104.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.