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Finding the Third Proportional to 11,929,729 and 18,241,256

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Solution

The third proportional to 11,929,729 and 18,241,256 is: 27,891,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929,729 : 18,241,256 = 18,241,256 : x
  2. Step 2: Convert to fraction form
    11,929,729/18,241,256 = 18,241,256/x
  3. Step 3: Cross multiply
    11,929,729x = 18,241,256 × 18,241,256
  4. Step 4: Simplify right side
    11,929,729x = 332,743,420,457,536
  5. Step 5: Solve for x
    x = 332,743,420,457,536/11,929,729
  6. Step 6: Final answer
    x = 27,891,951.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.