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Finding the Third Proportional to 18,144 and 27,276.75

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Solution

The third proportional to 18,144 and 27,276.75 is: 41,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,144 : 27,276.75 = 27,276.75 : x
  2. Step 2: Convert to fraction form
    18,144/27,276.75 = 27,276.75/x
  3. Step 3: Cross multiply
    18,144x = 27,276.75 × 27,276.75
  4. Step 4: Simplify right side
    18,144x = 744,021,090.56
  5. Step 5: Solve for x
    x = 744,021,090.56/18,144
  6. Step 6: Final answer
    x = 41,006.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.