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Finding the Third Proportional to 11,980,305 and 17,131,965.75

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Solution

The third proportional to 11,980,305 and 17,131,965.75 is: 24,498,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980,305 : 17,131,965.75 = 17,131,965.75 : x
  2. Step 2: Convert to fraction form
    11,980,305/17,131,965.75 = 17,131,965.75/x
  3. Step 3: Cross multiply
    11,980,305x = 17,131,965.75 × 17,131,965.75
  4. Step 4: Simplify right side
    11,980,305x = 293,504,250,459,173.06
  5. Step 5: Solve for x
    x = 293,504,250,459,173.06/11,980,305
  6. Step 6: Final answer
    x = 24,498,896.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.