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Finding the Third Proportional to 8,287 and 16,154

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Solution

The third proportional to 8,287 and 16,154 is: 31,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287 : 16,154 = 16,154 : x
  2. Step 2: Convert to fraction form
    8,287/16,154 = 16,154/x
  3. Step 3: Cross multiply
    8,287x = 16,154 × 16,154
  4. Step 4: Simplify right side
    8,287x = 260,951,716
  5. Step 5: Solve for x
    x = 260,951,716/8,287
  6. Step 6: Final answer
    x = 31,489.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.