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Finding the Third Proportional to 18,142 and 38,120

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Solution

The third proportional to 18,142 and 38,120 is: 80,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142 : 38,120 = 38,120 : x
  2. Step 2: Convert to fraction form
    18,142/38,120 = 38,120/x
  3. Step 3: Cross multiply
    18,142x = 38,120 × 38,120
  4. Step 4: Simplify right side
    18,142x = 1,453,134,400
  5. Step 5: Solve for x
    x = 1,453,134,400/18,142
  6. Step 6: Final answer
    x = 80,097.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.