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Finding the Third Proportional to 17,980 and 38,800

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Solution

The third proportional to 17,980 and 38,800 is: 83,728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,980 : 38,800 = 38,800 : x
  2. Step 2: Convert to fraction form
    17,980/38,800 = 38,800/x
  3. Step 3: Cross multiply
    17,980x = 38,800 × 38,800
  4. Step 4: Simplify right side
    17,980x = 1,505,440,000
  5. Step 5: Solve for x
    x = 1,505,440,000/17,980
  6. Step 6: Final answer
    x = 83,728.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.