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Finding the Third Proportional to 204,000 and 311,844

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Solution

The third proportional to 204,000 and 311,844 is: 476,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,000 : 311,844 = 311,844 : x
  2. Step 2: Convert to fraction form
    204,000/311,844 = 311,844/x
  3. Step 3: Cross multiply
    204,000x = 311,844 × 311,844
  4. Step 4: Simplify right side
    204,000x = 97,246,680,336
  5. Step 5: Solve for x
    x = 97,246,680,336/204,000
  6. Step 6: Final answer
    x = 476,699.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.