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Finding the Third Proportional to 140,305.50 and 213,960.75

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Solution

The third proportional to 140,305.50 and 213,960.75 is: 326,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,305.50 : 213,960.75 = 213,960.75 : x
  2. Step 2: Convert to fraction form
    140,305.50/213,960.75 = 213,960.75/x
  3. Step 3: Cross multiply
    140,305.50x = 213,960.75 × 213,960.75
  4. Step 4: Simplify right side
    140,305.50x = 45,779,202,540.56
  5. Step 5: Solve for x
    x = 45,779,202,540.56/140,305.50
  6. Step 6: Final answer
    x = 326,282.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.