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Finding the Third Proportional to 80,309.25 and 105,540.75

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Solution

The third proportional to 80,309.25 and 105,540.75 is: 138,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,309.25 : 105,540.75 = 105,540.75 : x
  2. Step 2: Convert to fraction form
    80,309.25/105,540.75 = 105,540.75/x
  3. Step 3: Cross multiply
    80,309.25x = 105,540.75 × 105,540.75
  4. Step 4: Simplify right side
    80,309.25x = 11,138,849,910.56
  5. Step 5: Solve for x
    x = 11,138,849,910.56/80,309.25
  6. Step 6: Final answer
    x = 138,699.46

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.