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Finding the Third Proportional to 68,407 and 146,999

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Solution

The third proportional to 68,407 and 146,999 is: 315,884.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,407 : 146,999 = 146,999 : x
  2. Step 2: Convert to fraction form
    68,407/146,999 = 146,999/x
  3. Step 3: Cross multiply
    68,407x = 146,999 × 146,999
  4. Step 4: Simplify right side
    68,407x = 21,608,706,001
  5. Step 5: Solve for x
    x = 21,608,706,001/68,407
  6. Step 6: Final answer
    x = 315,884.43

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