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Finding the Third Proportional to 18,892 and 39,148

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Solution

The third proportional to 18,892 and 39,148 is: 81,122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,892 : 39,148 = 39,148 : x
  2. Step 2: Convert to fraction form
    18,892/39,148 = 39,148/x
  3. Step 3: Cross multiply
    18,892x = 39,148 × 39,148
  4. Step 4: Simplify right side
    18,892x = 1,532,565,904
  5. Step 5: Solve for x
    x = 1,532,565,904/18,892
  6. Step 6: Final answer
    x = 81,122.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.