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Finding the Third Proportional to 198,422 and 427,950

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Solution

The third proportional to 198,422 and 427,950 is: 922,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,422 : 427,950 = 427,950 : x
  2. Step 2: Convert to fraction form
    198,422/427,950 = 427,950/x
  3. Step 3: Cross multiply
    198,422x = 427,950 × 427,950
  4. Step 4: Simplify right side
    198,422x = 183,141,202,500
  5. Step 5: Solve for x
    x = 183,141,202,500/198,422
  6. Step 6: Final answer
    x = 922,988.39

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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.