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Finding the Third Proportional to 13,881 and 30,317

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Solution

The third proportional to 13,881 and 30,317 is: 66,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881 : 30,317 = 30,317 : x
  2. Step 2: Convert to fraction form
    13,881/30,317 = 30,317/x
  3. Step 3: Cross multiply
    13,881x = 30,317 × 30,317
  4. Step 4: Simplify right side
    13,881x = 919,120,489
  5. Step 5: Solve for x
    x = 919,120,489/13,881
  6. Step 6: Final answer
    x = 66,214.28

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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.