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Finding the Third Proportional to 13,907 and 20,980

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Solution

The third proportional to 13,907 and 20,980 is: 31,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907 : 20,980 = 20,980 : x
  2. Step 2: Convert to fraction form
    13,907/20,980 = 20,980/x
  3. Step 3: Cross multiply
    13,907x = 20,980 × 20,980
  4. Step 4: Simplify right side
    13,907x = 440,160,400
  5. Step 5: Solve for x
    x = 440,160,400/13,907
  6. Step 6: Final answer
    x = 31,650.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.