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Finding the Third Proportional to 180,897 and 397,884

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Solution

The third proportional to 180,897 and 397,884 is: 875,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,897 : 397,884 = 397,884 : x
  2. Step 2: Convert to fraction form
    180,897/397,884 = 397,884/x
  3. Step 3: Cross multiply
    180,897x = 397,884 × 397,884
  4. Step 4: Simplify right side
    180,897x = 158,311,677,456
  5. Step 5: Solve for x
    x = 158,311,677,456/180,897
  6. Step 6: Final answer
    x = 875,148.16

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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.