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Finding the Third Proportional to 183,135 and 380,305

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Solution

The third proportional to 183,135 and 380,305 is: 789,755.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,135 : 380,305 = 380,305 : x
  2. Step 2: Convert to fraction form
    183,135/380,305 = 380,305/x
  3. Step 3: Cross multiply
    183,135x = 380,305 × 380,305
  4. Step 4: Simplify right side
    183,135x = 144,631,893,025
  5. Step 5: Solve for x
    x = 144,631,893,025/183,135
  6. Step 6: Final answer
    x = 789,755.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.