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Finding the Third Proportional to 8,309,966 and 12,431,829

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Solution

The third proportional to 8,309,966 and 12,431,829 is: 18,598,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309,966 : 12,431,829 = 12,431,829 : x
  2. Step 2: Convert to fraction form
    8,309,966/12,431,829 = 12,431,829/x
  3. Step 3: Cross multiply
    8,309,966x = 12,431,829 × 12,431,829
  4. Step 4: Simplify right side
    8,309,966x = 154,550,372,285,241
  5. Step 5: Solve for x
    x = 154,550,372,285,241/8,309,966
  6. Step 6: Final answer
    x = 18,598,195.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.