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Finding the Third Proportional to 20,690.44 and 27,838.69

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Solution

The third proportional to 20,690.44 and 27,838.69 is: 37,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690.44 : 27,838.69 = 27,838.69 : x
  2. Step 2: Convert to fraction form
    20,690.44/27,838.69 = 27,838.69/x
  3. Step 3: Cross multiply
    20,690.44x = 27,838.69 × 27,838.69
  4. Step 4: Simplify right side
    20,690.44x = 774,992,521.72
  5. Step 5: Solve for x
    x = 774,992,521.72/20,690.44
  6. Step 6: Final answer
    x = 37,456.56

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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.