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Finding the Third Proportional to 68,971.50 and 107,142.75

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Solution

The third proportional to 68,971.50 and 107,142.75 is: 166,439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,971.50 : 107,142.75 = 107,142.75 : x
  2. Step 2: Convert to fraction form
    68,971.50/107,142.75 = 107,142.75/x
  3. Step 3: Cross multiply
    68,971.50x = 107,142.75 × 107,142.75
  4. Step 4: Simplify right side
    68,971.50x = 11,479,568,877.56
  5. Step 5: Solve for x
    x = 11,479,568,877.56/68,971.50
  6. Step 6: Final answer
    x = 166,439.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.