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Finding the Third Proportional to 340,285 and 476,844

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Solution

The third proportional to 340,285 and 476,844 is: 668,205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,285 : 476,844 = 476,844 : x
  2. Step 2: Convert to fraction form
    340,285/476,844 = 476,844/x
  3. Step 3: Cross multiply
    340,285x = 476,844 × 476,844
  4. Step 4: Simplify right side
    340,285x = 227,380,200,336
  5. Step 5: Solve for x
    x = 227,380,200,336/340,285
  6. Step 6: Final answer
    x = 668,205.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.