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Finding the Third Proportional to 8,494 and 12,491

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Solution

The third proportional to 8,494 and 12,491 is: 18,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494 : 12,491 = 12,491 : x
  2. Step 2: Convert to fraction form
    8,494/12,491 = 12,491/x
  3. Step 3: Cross multiply
    8,494x = 12,491 × 12,491
  4. Step 4: Simplify right side
    8,494x = 156,025,081
  5. Step 5: Solve for x
    x = 156,025,081/8,494
  6. Step 6: Final answer
    x = 18,368.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.