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Finding the Third Proportional to 18,118 and 38,201

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Solution

The third proportional to 18,118 and 38,201 is: 80,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,118 : 38,201 = 38,201 : x
  2. Step 2: Convert to fraction form
    18,118/38,201 = 38,201/x
  3. Step 3: Cross multiply
    18,118x = 38,201 × 38,201
  4. Step 4: Simplify right side
    18,118x = 1,459,316,401
  5. Step 5: Solve for x
    x = 1,459,316,401/18,118
  6. Step 6: Final answer
    x = 80,545.12

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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.