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Finding the Third Proportional to 13,936 and 30,440

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Solution

The third proportional to 13,936 and 30,440 is: 66,489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,936 : 30,440 = 30,440 : x
  2. Step 2: Convert to fraction form
    13,936/30,440 = 30,440/x
  3. Step 3: Cross multiply
    13,936x = 30,440 × 30,440
  4. Step 4: Simplify right side
    13,936x = 926,593,600
  5. Step 5: Solve for x
    x = 926,593,600/13,936
  6. Step 6: Final answer
    x = 66,489.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.