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Finding the Third Proportional to 18,242 and 38,980

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Solution

The third proportional to 18,242 and 38,980 is: 83,293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,242 : 38,980 = 38,980 : x
  2. Step 2: Convert to fraction form
    18,242/38,980 = 38,980/x
  3. Step 3: Cross multiply
    18,242x = 38,980 × 38,980
  4. Step 4: Simplify right side
    18,242x = 1,519,440,400
  5. Step 5: Solve for x
    x = 1,519,440,400/18,242
  6. Step 6: Final answer
    x = 83,293.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.