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Finding the Third Proportional to 12,704 and 26,860

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Solution

The third proportional to 12,704 and 26,860 is: 56,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704 : 26,860 = 26,860 : x
  2. Step 2: Convert to fraction form
    12,704/26,860 = 26,860/x
  3. Step 3: Cross multiply
    12,704x = 26,860 × 26,860
  4. Step 4: Simplify right side
    12,704x = 721,459,600
  5. Step 5: Solve for x
    x = 721,459,600/12,704
  6. Step 6: Final answer
    x = 56,789.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.