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Finding the Third Proportional to 33,846 and 74,440

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Solution

The third proportional to 33,846 and 74,440 is: 163,721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,846 : 74,440 = 74,440 : x
  2. Step 2: Convert to fraction form
    33,846/74,440 = 74,440/x
  3. Step 3: Cross multiply
    33,846x = 74,440 × 74,440
  4. Step 4: Simplify right side
    33,846x = 5,541,313,600
  5. Step 5: Solve for x
    x = 5,541,313,600/33,846
  6. Step 6: Final answer
    x = 163,721.37

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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.