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Finding the Third Proportional to 33,828 and 73,487

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Solution

The third proportional to 33,828 and 73,487 is: 159,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,828 : 73,487 = 73,487 : x
  2. Step 2: Convert to fraction form
    33,828/73,487 = 73,487/x
  3. Step 3: Cross multiply
    33,828x = 73,487 × 73,487
  4. Step 4: Simplify right side
    33,828x = 5,400,339,169
  5. Step 5: Solve for x
    x = 5,400,339,169/33,828
  6. Step 6: Final answer
    x = 159,641.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.