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Finding the Third Proportional to 76,997.25 and 115,182.56

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Solution

The third proportional to 76,997.25 and 115,182.56 is: 172,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,997.25 : 115,182.56 = 115,182.56 : x
  2. Step 2: Convert to fraction form
    76,997.25/115,182.56 = 115,182.56/x
  3. Step 3: Cross multiply
    76,997.25x = 115,182.56 × 115,182.56
  4. Step 4: Simplify right side
    76,997.25x = 13,267,022,704.07
  5. Step 5: Solve for x
    x = 13,267,022,704.07/76,997.25
  6. Step 6: Final answer
    x = 172,305.15

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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.