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Finding the Third Proportional to 33,768.56 and 73,801.13

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Solution

The third proportional to 33,768.56 and 73,801.13 is: 161,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,768.56 : 73,801.13 = 73,801.13 : x
  2. Step 2: Convert to fraction form
    33,768.56/73,801.13 = 73,801.13/x
  3. Step 3: Cross multiply
    33,768.56x = 73,801.13 × 73,801.13
  4. Step 4: Simplify right side
    33,768.56x = 5,446,606,051.27
  5. Step 5: Solve for x
    x = 5,446,606,051.27/33,768.56
  6. Step 6: Final answer
    x = 161,292.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.