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Finding the Third Proportional to 198,039 and 427,647

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Solution

The third proportional to 198,039 and 427,647 is: 923,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,039 : 427,647 = 427,647 : x
  2. Step 2: Convert to fraction form
    198,039/427,647 = 427,647/x
  3. Step 3: Cross multiply
    198,039x = 427,647 × 427,647
  4. Step 4: Simplify right side
    198,039x = 182,881,956,609
  5. Step 5: Solve for x
    x = 182,881,956,609/198,039
  6. Step 6: Final answer
    x = 923,464.35

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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.