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Finding the Third Proportional to 74,109 and 159,801

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Solution

The third proportional to 74,109 and 159,801 is: 344,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,109 : 159,801 = 159,801 : x
  2. Step 2: Convert to fraction form
    74,109/159,801 = 159,801/x
  3. Step 3: Cross multiply
    74,109x = 159,801 × 159,801
  4. Step 4: Simplify right side
    74,109x = 25,536,359,601
  5. Step 5: Solve for x
    x = 25,536,359,601/74,109
  6. Step 6: Final answer
    x = 344,578.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.