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Finding the Third Proportional to 37,515 and 81,999

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Solution

The third proportional to 37,515 and 81,999 is: 179,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,515 : 81,999 = 81,999 : x
  2. Step 2: Convert to fraction form
    37,515/81,999 = 81,999/x
  3. Step 3: Cross multiply
    37,515x = 81,999 × 81,999
  4. Step 4: Simplify right side
    37,515x = 6,723,836,001
  5. Step 5: Solve for x
    x = 6,723,836,001/37,515
  6. Step 6: Final answer
    x = 179,230.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.