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Finding the Third Proportional to 12,704 and 17,137

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Solution

The third proportional to 12,704 and 17,137 is: 23,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704 : 17,137 = 17,137 : x
  2. Step 2: Convert to fraction form
    12,704/17,137 = 17,137/x
  3. Step 3: Cross multiply
    12,704x = 17,137 × 17,137
  4. Step 4: Simplify right side
    12,704x = 293,676,769
  5. Step 5: Solve for x
    x = 293,676,769/12,704
  6. Step 6: Final answer
    x = 23,116.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.