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Finding the Third Proportional to 18,140 and 38,116

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Solution

The third proportional to 18,140 and 38,116 is: 80,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,140 : 38,116 = 38,116 : x
  2. Step 2: Convert to fraction form
    18,140/38,116 = 38,116/x
  3. Step 3: Cross multiply
    18,140x = 38,116 × 38,116
  4. Step 4: Simplify right side
    18,140x = 1,452,829,456
  5. Step 5: Solve for x
    x = 1,452,829,456/18,140
  6. Step 6: Final answer
    x = 80,089.83

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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.