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Finding the Third Proportional to 33,571.13 and 73,136.25

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Solution

The third proportional to 33,571.13 and 73,136.25 is: 159,330.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,571.13 : 73,136.25 = 73,136.25 : x
  2. Step 2: Convert to fraction form
    33,571.13/73,136.25 = 73,136.25/x
  3. Step 3: Cross multiply
    33,571.13x = 73,136.25 × 73,136.25
  4. Step 4: Simplify right side
    33,571.13x = 5,348,911,064.06
  5. Step 5: Solve for x
    x = 5,348,911,064.06/33,571.13
  6. Step 6: Final answer
    x = 159,330.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.