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Finding the Third Proportional to 198,086 and 426,974

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Solution

The third proportional to 198,086 and 426,974 is: 920,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,086 : 426,974 = 426,974 : x
  2. Step 2: Convert to fraction form
    198,086/426,974 = 426,974/x
  3. Step 3: Cross multiply
    198,086x = 426,974 × 426,974
  4. Step 4: Simplify right side
    198,086x = 182,306,796,676
  5. Step 5: Solve for x
    x = 182,306,796,676/198,086
  6. Step 6: Final answer
    x = 920,341.65

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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.