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Finding the Third Proportional to 18,422 and 38,740

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Solution

The third proportional to 18,422 and 38,740 is: 81,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,422 : 38,740 = 38,740 : x
  2. Step 2: Convert to fraction form
    18,422/38,740 = 38,740/x
  3. Step 3: Cross multiply
    18,422x = 38,740 × 38,740
  4. Step 4: Simplify right side
    18,422x = 1,500,787,600
  5. Step 5: Solve for x
    x = 1,500,787,600/18,422
  6. Step 6: Final answer
    x = 81,467.14

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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.