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Finding the Third Proportional to 198,972 and 409,608

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Solution

The third proportional to 198,972 and 409,608 is: 843,227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,972 : 409,608 = 409,608 : x
  2. Step 2: Convert to fraction form
    198,972/409,608 = 409,608/x
  3. Step 3: Cross multiply
    198,972x = 409,608 × 409,608
  4. Step 4: Simplify right side
    198,972x = 167,778,713,664
  5. Step 5: Solve for x
    x = 167,778,713,664/198,972
  6. Step 6: Final answer
    x = 843,227.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.