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Finding the Third Proportional to 198,057 and 427,677

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Solution

The third proportional to 198,057 and 427,677 is: 923,509.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,057 : 427,677 = 427,677 : x
  2. Step 2: Convert to fraction form
    198,057/427,677 = 427,677/x
  3. Step 3: Cross multiply
    198,057x = 427,677 × 427,677
  4. Step 4: Simplify right side
    198,057x = 182,907,616,329
  5. Step 5: Solve for x
    x = 182,907,616,329/198,057
  6. Step 6: Final answer
    x = 923,509.98

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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.