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Finding the Third Proportional to 198,020 and 269,049

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Solution

The third proportional to 198,020 and 269,049 is: 365,555.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,020 : 269,049 = 269,049 : x
  2. Step 2: Convert to fraction form
    198,020/269,049 = 269,049/x
  3. Step 3: Cross multiply
    198,020x = 269,049 × 269,049
  4. Step 4: Simplify right side
    198,020x = 72,387,364,401
  5. Step 5: Solve for x
    x = 72,387,364,401/198,020
  6. Step 6: Final answer
    x = 365,555.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.