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Finding the Third Proportional to 8,511,120 and 18,469,000

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Solution

The third proportional to 8,511,120 and 18,469,000 is: 40,077,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511,120 : 18,469,000 = 18,469,000 : x
  2. Step 2: Convert to fraction form
    8,511,120/18,469,000 = 18,469,000/x
  3. Step 3: Cross multiply
    8,511,120x = 18,469,000 × 18,469,000
  4. Step 4: Simplify right side
    8,511,120x = 341,103,961,000,000
  5. Step 5: Solve for x
    x = 341,103,961,000,000/8,511,120
  6. Step 6: Final answer
    x = 40,077,447.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.