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Finding the Third Proportional to 339,320,285,471 and 738,215,085,010

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Solution

The third proportional to 339,320,285,471 and 738,215,085,010 is: 1,606,038,704,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,320,285,471 : 738,215,085,010 = 738,215,085,010 : x
  2. Step 2: Convert to fraction form
    339,320,285,471/738,215,085,010 = 738,215,085,010/x
  3. Step 3: Cross multiply
    339,320,285,471x = 738,215,085,010 × 738,215,085,010
  4. Step 4: Simplify right side
    339,320,285,471x = 544,961,511,736,321,498,939,392
  5. Step 5: Solve for x
    x = 544,961,511,736,321,498,939,392/339,320,285,471
  6. Step 6: Final answer
    x = 1,606,038,704,641.18

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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.