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Finding the Third Proportional to 30,997.69 and 71,965.97

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Solution

The third proportional to 30,997.69 and 71,965.97 is: 167,080.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.69 : 71,965.97 = 71,965.97 : x
  2. Step 2: Convert to fraction form
    30,997.69/71,965.97 = 71,965.97/x
  3. Step 3: Cross multiply
    30,997.69x = 71,965.97 × 71,965.97
  4. Step 4: Simplify right side
    30,997.69x = 5,179,100,658.13
  5. Step 5: Solve for x
    x = 5,179,100,658.13/30,997.69
  6. Step 6: Final answer
    x = 167,080.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.