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Finding the Third Proportional to 8,777,013 and 11,646,162

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Solution

The third proportional to 8,777,013 and 11,646,162 is: 15,453,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777,013 : 11,646,162 = 11,646,162 : x
  2. Step 2: Convert to fraction form
    8,777,013/11,646,162 = 11,646,162/x
  3. Step 3: Cross multiply
    8,777,013x = 11,646,162 × 11,646,162
  4. Step 4: Simplify right side
    8,777,013x = 135,633,089,330,244
  5. Step 5: Solve for x
    x = 135,633,089,330,244/8,777,013
  6. Step 6: Final answer
    x = 15,453,217.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.