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Finding the Third Proportional to 6,862,678 and 9,149,161

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Solution

The third proportional to 6,862,678 and 9,149,161 is: 12,197,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862,678 : 9,149,161 = 9,149,161 : x
  2. Step 2: Convert to fraction form
    6,862,678/9,149,161 = 9,149,161/x
  3. Step 3: Cross multiply
    6,862,678x = 9,149,161 × 9,149,161
  4. Step 4: Simplify right side
    6,862,678x = 83,707,147,003,921
  5. Step 5: Solve for x
    x = 83,707,147,003,921/6,862,678
  6. Step 6: Final answer
    x = 12,197,446.39

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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.