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Finding the Third Proportional to 808,212,198 and 1,745,754,828

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Solution

The third proportional to 808,212,198 and 1,745,754,828 is: 3,770,866,026.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,212,198 : 1,745,754,828 = 1,745,754,828 : x
  2. Step 2: Convert to fraction form
    808,212,198/1,745,754,828 = 1,745,754,828/x
  3. Step 3: Cross multiply
    808,212,198x = 1,745,754,828 × 1,745,754,828
  4. Step 4: Simplify right side
    808,212,198x = 3,047,659,919,485,309,440
  5. Step 5: Solve for x
    x = 3,047,659,919,485,309,440/808,212,198
  6. Step 6: Final answer
    x = 3,770,866,026.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.