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Finding the Third Proportional to 136,119,744 and 204,279,192

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Solution

The third proportional to 136,119,744 and 204,279,192 is: 306,568,224.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,119,744 : 204,279,192 = 204,279,192 : x
  2. Step 2: Convert to fraction form
    136,119,744/204,279,192 = 204,279,192/x
  3. Step 3: Cross multiply
    136,119,744x = 204,279,192 × 204,279,192
  4. Step 4: Simplify right side
    136,119,744x = 41,729,988,284,172,864
  5. Step 5: Solve for x
    x = 41,729,988,284,172,864/136,119,744
  6. Step 6: Final answer
    x = 306,568,224.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.