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Finding the Third Proportional to 38,214 and 82,980

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Solution

The third proportional to 38,214 and 82,980 is: 180,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,214 : 82,980 = 82,980 : x
  2. Step 2: Convert to fraction form
    38,214/82,980 = 82,980/x
  3. Step 3: Cross multiply
    38,214x = 82,980 × 82,980
  4. Step 4: Simplify right side
    38,214x = 6,885,680,400
  5. Step 5: Solve for x
    x = 6,885,680,400/38,214
  6. Step 6: Final answer
    x = 180,187.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.