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Finding the Third Proportional to 18,118 and 38,206

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Solution

The third proportional to 18,118 and 38,206 is: 80,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,118 : 38,206 = 38,206 : x
  2. Step 2: Convert to fraction form
    18,118/38,206 = 38,206/x
  3. Step 3: Cross multiply
    18,118x = 38,206 × 38,206
  4. Step 4: Simplify right side
    18,118x = 1,459,698,436
  5. Step 5: Solve for x
    x = 1,459,698,436/18,118
  6. Step 6: Final answer
    x = 80,566.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.