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Finding the Third Proportional to 184,728 and 397,707

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Solution

The third proportional to 184,728 and 397,707 is: 856,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,728 : 397,707 = 397,707 : x
  2. Step 2: Convert to fraction form
    184,728/397,707 = 397,707/x
  3. Step 3: Cross multiply
    184,728x = 397,707 × 397,707
  4. Step 4: Simplify right side
    184,728x = 158,170,857,849
  5. Step 5: Solve for x
    x = 158,170,857,849/184,728
  6. Step 6: Final answer
    x = 856,236.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.