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Finding the Third Proportional to 33,497.50 and 73,569.50

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Solution

The third proportional to 33,497.50 and 73,569.50 is: 161,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,497.50 : 73,569.50 = 73,569.50 : x
  2. Step 2: Convert to fraction form
    33,497.50/73,569.50 = 73,569.50/x
  3. Step 3: Cross multiply
    33,497.50x = 73,569.50 × 73,569.50
  4. Step 4: Simplify right side
    33,497.50x = 5,412,471,330.25
  5. Step 5: Solve for x
    x = 5,412,471,330.25/33,497.50
  6. Step 6: Final answer
    x = 161,578.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.