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Finding the Third Proportional to 8,678,538 and 18,663,198

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Solution

The third proportional to 8,678,538 and 18,663,198 is: 40,135,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678,538 : 18,663,198 = 18,663,198 : x
  2. Step 2: Convert to fraction form
    8,678,538/18,663,198 = 18,663,198/x
  3. Step 3: Cross multiply
    8,678,538x = 18,663,198 × 18,663,198
  4. Step 4: Simplify right side
    8,678,538x = 348,314,959,587,204
  5. Step 5: Solve for x
    x = 348,314,959,587,204/8,678,538
  6. Step 6: Final answer
    x = 40,135,211.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.