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Finding the Third Proportional to 192,763 and 417,704

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Solution

The third proportional to 192,763 and 417,704 is: 905,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,763 : 417,704 = 417,704 : x
  2. Step 2: Convert to fraction form
    192,763/417,704 = 417,704/x
  3. Step 3: Cross multiply
    192,763x = 417,704 × 417,704
  4. Step 4: Simplify right side
    192,763x = 174,476,631,616
  5. Step 5: Solve for x
    x = 174,476,631,616/192,763
  6. Step 6: Final answer
    x = 905,135.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.