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Finding the Third Proportional to 9,721,647 and 21,273,198

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Solution

The third proportional to 9,721,647 and 21,273,198 is: 46,550,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721,647 : 21,273,198 = 21,273,198 : x
  2. Step 2: Convert to fraction form
    9,721,647/21,273,198 = 21,273,198/x
  3. Step 3: Cross multiply
    9,721,647x = 21,273,198 × 21,273,198
  4. Step 4: Simplify right side
    9,721,647x = 452,548,953,147,204
  5. Step 5: Solve for x
    x = 452,548,953,147,204/9,721,647
  6. Step 6: Final answer
    x = 46,550,646.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.