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Finding the Third Proportional to 33,552.56 and 73,134.56

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Solution

The third proportional to 33,552.56 and 73,134.56 is: 159,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,552.56 : 73,134.56 = 73,134.56 : x
  2. Step 2: Convert to fraction form
    33,552.56/73,134.56 = 73,134.56/x
  3. Step 3: Cross multiply
    33,552.56x = 73,134.56 × 73,134.56
  4. Step 4: Simplify right side
    33,552.56x = 5,348,664,232.07
  5. Step 5: Solve for x
    x = 5,348,664,232.07/33,552.56
  6. Step 6: Final answer
    x = 159,411.50

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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.