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Finding the Third Proportional to 8,309,832 and 12,519,423

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Solution

The third proportional to 8,309,832 and 12,519,423 is: 18,861,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309,832 : 12,519,423 = 12,519,423 : x
  2. Step 2: Convert to fraction form
    8,309,832/12,519,423 = 12,519,423/x
  3. Step 3: Cross multiply
    8,309,832x = 12,519,423 × 12,519,423
  4. Step 4: Simplify right side
    8,309,832x = 156,735,952,252,929
  5. Step 5: Solve for x
    x = 156,735,952,252,929/8,309,832
  6. Step 6: Final answer
    x = 18,861,506.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.