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Finding the Third Proportional to 198,229 and 301,990

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Solution

The third proportional to 198,229 and 301,990 is: 460,063.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,229 : 301,990 = 301,990 : x
  2. Step 2: Convert to fraction form
    198,229/301,990 = 301,990/x
  3. Step 3: Cross multiply
    198,229x = 301,990 × 301,990
  4. Step 4: Simplify right side
    198,229x = 91,197,960,100
  5. Step 5: Solve for x
    x = 91,197,960,100/198,229
  6. Step 6: Final answer
    x = 460,063.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.