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Finding the Third Proportional to 8,142 and 11,645

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Solution

The third proportional to 8,142 and 11,645 is: 16,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142 : 11,645 = 11,645 : x
  2. Step 2: Convert to fraction form
    8,142/11,645 = 11,645/x
  3. Step 3: Cross multiply
    8,142x = 11,645 × 11,645
  4. Step 4: Simplify right side
    8,142x = 135,606,025
  5. Step 5: Solve for x
    x = 135,606,025/8,142
  6. Step 6: Final answer
    x = 16,655.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.