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Finding the Third Proportional to 8,457 and 11,493

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Solution

The third proportional to 8,457 and 11,493 is: 15,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457 : 11,493 = 11,493 : x
  2. Step 2: Convert to fraction form
    8,457/11,493 = 11,493/x
  3. Step 3: Cross multiply
    8,457x = 11,493 × 11,493
  4. Step 4: Simplify right side
    8,457x = 132,089,049
  5. Step 5: Solve for x
    x = 132,089,049/8,457
  6. Step 6: Final answer
    x = 15,618.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.