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Finding the Third Proportional to 8,576 and 12,756

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Solution

The third proportional to 8,576 and 12,756 is: 18,973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576 : 12,756 = 12,756 : x
  2. Step 2: Convert to fraction form
    8,576/12,756 = 12,756/x
  3. Step 3: Cross multiply
    8,576x = 12,756 × 12,756
  4. Step 4: Simplify right side
    8,576x = 162,715,536
  5. Step 5: Solve for x
    x = 162,715,536/8,576
  6. Step 6: Final answer
    x = 18,973.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.