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Finding the Third Proportional to 185,405 and 397,054

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Solution

The third proportional to 185,405 and 397,054 is: 850,310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,405 : 397,054 = 397,054 : x
  2. Step 2: Convert to fraction form
    185,405/397,054 = 397,054/x
  3. Step 3: Cross multiply
    185,405x = 397,054 × 397,054
  4. Step 4: Simplify right side
    185,405x = 157,651,878,916
  5. Step 5: Solve for x
    x = 157,651,878,916/185,405
  6. Step 6: Final answer
    x = 850,310.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.