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Finding the Third Proportional to 192,057 and 290,739

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Solution

The third proportional to 192,057 and 290,739 is: 440,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,057 : 290,739 = 290,739 : x
  2. Step 2: Convert to fraction form
    192,057/290,739 = 290,739/x
  3. Step 3: Cross multiply
    192,057x = 290,739 × 290,739
  4. Step 4: Simplify right side
    192,057x = 84,529,166,121
  5. Step 5: Solve for x
    x = 84,529,166,121/192,057
  6. Step 6: Final answer
    x = 440,125.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.