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Finding the Third Proportional to 72,187 and 104,999

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Solution

The third proportional to 72,187 and 104,999 is: 152,725.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,187 : 104,999 = 104,999 : x
  2. Step 2: Convert to fraction form
    72,187/104,999 = 104,999/x
  3. Step 3: Cross multiply
    72,187x = 104,999 × 104,999
  4. Step 4: Simplify right side
    72,187x = 11,024,790,001
  5. Step 5: Solve for x
    x = 11,024,790,001/72,187
  6. Step 6: Final answer
    x = 152,725.42

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.