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Finding the Third Proportional to 143,968.50 and 215,979.75

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Solution

The third proportional to 143,968.50 and 215,979.75 is: 324,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,968.50 : 215,979.75 = 215,979.75 : x
  2. Step 2: Convert to fraction form
    143,968.50/215,979.75 = 215,979.75/x
  3. Step 3: Cross multiply
    143,968.50x = 215,979.75 × 215,979.75
  4. Step 4: Simplify right side
    143,968.50x = 46,647,252,410.06
  5. Step 5: Solve for x
    x = 46,647,252,410.06/143,968.50
  6. Step 6: Final answer
    x = 324,010.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.