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Finding the Third Proportional to 180,916 and 397,732

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Solution

The third proportional to 180,916 and 397,732 is: 874,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,916 : 397,732 = 397,732 : x
  2. Step 2: Convert to fraction form
    180,916/397,732 = 397,732/x
  3. Step 3: Cross multiply
    180,916x = 397,732 × 397,732
  4. Step 4: Simplify right side
    180,916x = 158,190,743,824
  5. Step 5: Solve for x
    x = 158,190,743,824/180,916
  6. Step 6: Final answer
    x = 874,387.80

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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.