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Finding the Third Proportional to 13,880 and 31,244

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Solution

The third proportional to 13,880 and 31,244 is: 70,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880 : 31,244 = 31,244 : x
  2. Step 2: Convert to fraction form
    13,880/31,244 = 31,244/x
  3. Step 3: Cross multiply
    13,880x = 31,244 × 31,244
  4. Step 4: Simplify right side
    13,880x = 976,187,536
  5. Step 5: Solve for x
    x = 976,187,536/13,880
  6. Step 6: Final answer
    x = 70,330.51

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.