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Finding the Third Proportional to 38,072.50 and 81,815

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Solution

The third proportional to 38,072.50 and 81,815 is: 175,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,072.50 : 81,815 = 81,815 : x
  2. Step 2: Convert to fraction form
    38,072.50/81,815 = 81,815/x
  3. Step 3: Cross multiply
    38,072.50x = 81,815 × 81,815
  4. Step 4: Simplify right side
    38,072.50x = 6,693,694,225
  5. Step 5: Solve for x
    x = 6,693,694,225/38,072.50
  6. Step 6: Final answer
    x = 175,814.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.