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Finding the Third Proportional to 12,978 and 26,520

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Solution

The third proportional to 12,978 and 26,520 is: 54,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,978 : 26,520 = 26,520 : x
  2. Step 2: Convert to fraction form
    12,978/26,520 = 26,520/x
  3. Step 3: Cross multiply
    12,978x = 26,520 × 26,520
  4. Step 4: Simplify right side
    12,978x = 703,310,400
  5. Step 5: Solve for x
    x = 703,310,400/12,978
  6. Step 6: Final answer
    x = 54,192.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.