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Finding the Third Proportional to 20,912 and 38,704

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Solution

The third proportional to 20,912 and 38,704 is: 71,633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,912 : 38,704 = 38,704 : x
  2. Step 2: Convert to fraction form
    20,912/38,704 = 38,704/x
  3. Step 3: Cross multiply
    20,912x = 38,704 × 38,704
  4. Step 4: Simplify right side
    20,912x = 1,497,999,616
  5. Step 5: Solve for x
    x = 1,497,999,616/20,912
  6. Step 6: Final answer
    x = 71,633.49

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.