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Finding the Third Proportional to 198,806 and 427,274

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Solution

The third proportional to 198,806 and 427,274 is: 918,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,806 : 427,274 = 427,274 : x
  2. Step 2: Convert to fraction form
    198,806/427,274 = 427,274/x
  3. Step 3: Cross multiply
    198,806x = 427,274 × 427,274
  4. Step 4: Simplify right side
    198,806x = 182,563,071,076
  5. Step 5: Solve for x
    x = 182,563,071,076/198,806
  6. Step 6: Final answer
    x = 918,297.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.