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Finding the Third Proportional to 204,388,830 and 443,277,036

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Solution

The third proportional to 204,388,830 and 443,277,036 is: 961,376,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,388,830 : 443,277,036 = 443,277,036 : x
  2. Step 2: Convert to fraction form
    204,388,830/443,277,036 = 443,277,036/x
  3. Step 3: Cross multiply
    204,388,830x = 443,277,036 × 443,277,036
  4. Step 4: Simplify right side
    204,388,830x = 196,494,530,644,945,280
  5. Step 5: Solve for x
    x = 196,494,530,644,945,280/204,388,830
  6. Step 6: Final answer
    x = 961,376,072.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.