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Finding the Third Proportional to 20,932 and 38,912

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Solution

The third proportional to 20,932 and 38,912 is: 72,336.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,932 : 38,912 = 38,912 : x
  2. Step 2: Convert to fraction form
    20,932/38,912 = 38,912/x
  3. Step 3: Cross multiply
    20,932x = 38,912 × 38,912
  4. Step 4: Simplify right side
    20,932x = 1,514,143,744
  5. Step 5: Solve for x
    x = 1,514,143,744/20,932
  6. Step 6: Final answer
    x = 72,336.31

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.