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Finding the Third Proportional to 18,180 and 27,148

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Solution

The third proportional to 18,180 and 27,148 is: 40,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,180 : 27,148 = 27,148 : x
  2. Step 2: Convert to fraction form
    18,180/27,148 = 27,148/x
  3. Step 3: Cross multiply
    18,180x = 27,148 × 27,148
  4. Step 4: Simplify right side
    18,180x = 737,013,904
  5. Step 5: Solve for x
    x = 737,013,904/18,180
  6. Step 6: Final answer
    x = 40,539.82

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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.