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Finding the Third Proportional to 13,880 and 19,632

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Solution

The third proportional to 13,880 and 19,632 is: 27,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880 : 19,632 = 19,632 : x
  2. Step 2: Convert to fraction form
    13,880/19,632 = 19,632/x
  3. Step 3: Cross multiply
    13,880x = 19,632 × 19,632
  4. Step 4: Simplify right side
    13,880x = 385,415,424
  5. Step 5: Solve for x
    x = 385,415,424/13,880
  6. Step 6: Final answer
    x = 27,767.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.