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Finding the Third Proportional to 8,128,694.57 and 11,968,494.19

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Solution

The third proportional to 8,128,694.57 and 11,968,494.19 is: 17,622,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128,694.57 : 11,968,494.19 = 11,968,494.19 : x
  2. Step 2: Convert to fraction form
    8,128,694.57/11,968,494.19 = 11,968,494.19/x
  3. Step 3: Cross multiply
    8,128,694.57x = 11,968,494.19 × 11,968,494.19
  4. Step 4: Simplify right side
    8,128,694.57x = 143,244,853,116,221.28
  5. Step 5: Solve for x
    x = 143,244,853,116,221.28/8,128,694.57
  6. Step 6: Final answer
    x = 17,622,122.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.