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Finding the Third Proportional to 38,212 and 81,500

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Solution

The third proportional to 38,212 and 81,500 is: 173,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,212 : 81,500 = 81,500 : x
  2. Step 2: Convert to fraction form
    38,212/81,500 = 81,500/x
  3. Step 3: Cross multiply
    38,212x = 81,500 × 81,500
  4. Step 4: Simplify right side
    38,212x = 6,642,250,000
  5. Step 5: Solve for x
    x = 6,642,250,000/38,212
  6. Step 6: Final answer
    x = 173,826.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.