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Finding the Third Proportional to 68,157 and 144,512.75

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Solution

The third proportional to 68,157 and 144,512.75 is: 306,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,157 : 144,512.75 = 144,512.75 : x
  2. Step 2: Convert to fraction form
    68,157/144,512.75 = 144,512.75/x
  3. Step 3: Cross multiply
    68,157x = 144,512.75 × 144,512.75
  4. Step 4: Simplify right side
    68,157x = 20,883,934,912.56
  5. Step 5: Solve for x
    x = 20,883,934,912.56/68,157
  6. Step 6: Final answer
    x = 306,409.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.