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Finding the Third Proportional to 8,309,576 and 12,431,163

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Solution

The third proportional to 8,309,576 and 12,431,163 is: 18,597,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309,576 : 12,431,163 = 12,431,163 : x
  2. Step 2: Convert to fraction form
    8,309,576/12,431,163 = 12,431,163/x
  3. Step 3: Cross multiply
    8,309,576x = 12,431,163 × 12,431,163
  4. Step 4: Simplify right side
    8,309,576x = 154,533,813,532,569
  5. Step 5: Solve for x
    x = 154,533,813,532,569/8,309,576
  6. Step 6: Final answer
    x = 18,597,075.65

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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.