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Finding the Third Proportional to 20,544 and 26,979

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Solution

The third proportional to 20,544 and 26,979 is: 35,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544 : 26,979 = 26,979 : x
  2. Step 2: Convert to fraction form
    20,544/26,979 = 26,979/x
  3. Step 3: Cross multiply
    20,544x = 26,979 × 26,979
  4. Step 4: Simplify right side
    20,544x = 727,866,441
  5. Step 5: Solve for x
    x = 727,866,441/20,544
  6. Step 6: Final answer
    x = 35,429.64

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.