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Finding the Third Proportional to 18,072 and 27,012

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Solution

The third proportional to 18,072 and 27,012 is: 40,374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,072 : 27,012 = 27,012 : x
  2. Step 2: Convert to fraction form
    18,072/27,012 = 27,012/x
  3. Step 3: Cross multiply
    18,072x = 27,012 × 27,012
  4. Step 4: Simplify right side
    18,072x = 729,648,144
  5. Step 5: Solve for x
    x = 729,648,144/18,072
  6. Step 6: Final answer
    x = 40,374.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.