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Finding the Third Proportional to 154,066 and 323,036

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Solution

The third proportional to 154,066 and 323,036 is: 677,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,066 : 323,036 = 323,036 : x
  2. Step 2: Convert to fraction form
    154,066/323,036 = 323,036/x
  3. Step 3: Cross multiply
    154,066x = 323,036 × 323,036
  4. Step 4: Simplify right side
    154,066x = 104,352,257,296
  5. Step 5: Solve for x
    x = 104,352,257,296/154,066
  6. Step 6: Final answer
    x = 677,321.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.