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Finding the Third Proportional to 180,972 and 397,638

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Solution

The third proportional to 180,972 and 397,638 is: 873,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,972 : 397,638 = 397,638 : x
  2. Step 2: Convert to fraction form
    180,972/397,638 = 397,638/x
  3. Step 3: Cross multiply
    180,972x = 397,638 × 397,638
  4. Step 4: Simplify right side
    180,972x = 158,115,979,044
  5. Step 5: Solve for x
    x = 158,115,979,044/180,972
  6. Step 6: Final answer
    x = 873,704.10

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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.