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Finding the Third Proportional to 339,320,285,476 and 738,215,085,020

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Solution

The third proportional to 339,320,285,476 and 738,215,085,020 is: 1,606,038,704,661.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,320,285,476 : 738,215,085,020 = 738,215,085,020 : x
  2. Step 2: Convert to fraction form
    339,320,285,476/738,215,085,020 = 738,215,085,020/x
  3. Step 3: Cross multiply
    339,320,285,476x = 738,215,085,020 × 738,215,085,020
  4. Step 4: Simplify right side
    339,320,285,476x = 544,961,511,751,085,851,672,576
  5. Step 5: Solve for x
    x = 544,961,511,751,085,851,672,576/339,320,285,476
  6. Step 6: Final answer
    x = 1,606,038,704,661.03

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