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Finding the Third Proportional to 198,530 and 310,755

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Solution

The third proportional to 198,530 and 310,755 is: 486,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,530 : 310,755 = 310,755 : x
  2. Step 2: Convert to fraction form
    198,530/310,755 = 310,755/x
  3. Step 3: Cross multiply
    198,530x = 310,755 × 310,755
  4. Step 4: Simplify right side
    198,530x = 96,568,670,025
  5. Step 5: Solve for x
    x = 96,568,670,025/198,530
  6. Step 6: Final answer
    x = 486,418.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.