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Finding the Third Proportional to 9,880 and 13,732

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Solution

The third proportional to 9,880 and 13,732 is: 19,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880 : 13,732 = 13,732 : x
  2. Step 2: Convert to fraction form
    9,880/13,732 = 13,732/x
  3. Step 3: Cross multiply
    9,880x = 13,732 × 13,732
  4. Step 4: Simplify right side
    9,880x = 188,567,824
  5. Step 5: Solve for x
    x = 188,567,824/9,880
  6. Step 6: Final answer
    x = 19,085.81

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.