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Finding the Third Proportional to 198,056 and 427,676

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Solution

The third proportional to 198,056 and 427,676 is: 923,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,056 : 427,676 = 427,676 : x
  2. Step 2: Convert to fraction form
    198,056/427,676 = 427,676/x
  3. Step 3: Cross multiply
    198,056x = 427,676 × 427,676
  4. Step 4: Simplify right side
    198,056x = 182,906,760,976
  5. Step 5: Solve for x
    x = 182,906,760,976/198,056
  6. Step 6: Final answer
    x = 923,510.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.