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Finding the Third Proportional to 198,086 and 426,973

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Solution

The third proportional to 198,086 and 426,973 is: 920,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,086 : 426,973 = 426,973 : x
  2. Step 2: Convert to fraction form
    198,086/426,973 = 426,973/x
  3. Step 3: Cross multiply
    198,086x = 426,973 × 426,973
  4. Step 4: Simplify right side
    198,086x = 182,305,942,729
  5. Step 5: Solve for x
    x = 182,305,942,729/198,086
  6. Step 6: Final answer
    x = 920,337.34

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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.