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Finding the Third Proportional to 68,310.75 and 140,023.50

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Solution

The third proportional to 68,310.75 and 140,023.50 is: 287,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,310.75 : 140,023.50 = 140,023.50 : x
  2. Step 2: Convert to fraction form
    68,310.75/140,023.50 = 140,023.50/x
  3. Step 3: Cross multiply
    68,310.75x = 140,023.50 × 140,023.50
  4. Step 4: Simplify right side
    68,310.75x = 19,606,580,552.25
  5. Step 5: Solve for x
    x = 19,606,580,552.25/68,310.75
  6. Step 6: Final answer
    x = 287,020.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.