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Finding the Third Proportional to 13,800 and 30,272

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Solution

The third proportional to 13,800 and 30,272 is: 66,405.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800 : 30,272 = 30,272 : x
  2. Step 2: Convert to fraction form
    13,800/30,272 = 30,272/x
  3. Step 3: Cross multiply
    13,800x = 30,272 × 30,272
  4. Step 4: Simplify right side
    13,800x = 916,393,984
  5. Step 5: Solve for x
    x = 916,393,984/13,800
  6. Step 6: Final answer
    x = 66,405.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.