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Finding the Third Proportional to 204,945,012 and 446,278,888

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Solution

The third proportional to 204,945,012 and 446,278,888 is: 971,796,502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,945,012 : 446,278,888 = 446,278,888 : x
  2. Step 2: Convert to fraction form
    204,945,012/446,278,888 = 446,278,888/x
  3. Step 3: Cross multiply
    204,945,012x = 446,278,888 × 446,278,888
  4. Step 4: Simplify right side
    204,945,012x = 199,164,845,874,516,544
  5. Step 5: Solve for x
    x = 199,164,845,874,516,544/204,945,012
  6. Step 6: Final answer
    x = 971,796,502.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.