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Finding the Third Proportional to 68,800.31 and 143,842.69

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Solution

The third proportional to 68,800.31 and 143,842.69 is: 300,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,800.31 : 143,842.69 = 143,842.69 : x
  2. Step 2: Convert to fraction form
    68,800.31/143,842.69 = 143,842.69/x
  3. Step 3: Cross multiply
    68,800.31x = 143,842.69 × 143,842.69
  4. Step 4: Simplify right side
    68,800.31x = 20,690,718,747.22
  5. Step 5: Solve for x
    x = 20,690,718,747.22/68,800.31
  6. Step 6: Final answer
    x = 300,735.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.