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Finding the Third Proportional to 9,691,791.75 and 21,143,997

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Solution

The third proportional to 9,691,791.75 and 21,143,997 is: 46,128,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,791.75 : 21,143,997 = 21,143,997 : x
  2. Step 2: Convert to fraction form
    9,691,791.75/21,143,997 = 21,143,997/x
  3. Step 3: Cross multiply
    9,691,791.75x = 21,143,997 × 21,143,997
  4. Step 4: Simplify right side
    9,691,791.75x = 447,068,609,136,009
  5. Step 5: Solve for x
    x = 447,068,609,136,009/9,691,791.75
  6. Step 6: Final answer
    x = 46,128,581.86

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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.