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Finding the Third Proportional to 230,268 and 355,245

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Solution

The third proportional to 230,268 and 355,245 is: 548,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,268 : 355,245 = 355,245 : x
  2. Step 2: Convert to fraction form
    230,268/355,245 = 355,245/x
  3. Step 3: Cross multiply
    230,268x = 355,245 × 355,245
  4. Step 4: Simplify right side
    230,268x = 126,199,010,025
  5. Step 5: Solve for x
    x = 126,199,010,025/230,268
  6. Step 6: Final answer
    x = 548,052.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.