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Finding the Third Proportional to 180,894 and 397,878

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Solution

The third proportional to 180,894 and 397,878 is: 875,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,894 : 397,878 = 397,878 : x
  2. Step 2: Convert to fraction form
    180,894/397,878 = 397,878/x
  3. Step 3: Cross multiply
    180,894x = 397,878 × 397,878
  4. Step 4: Simplify right side
    180,894x = 158,306,902,884
  5. Step 5: Solve for x
    x = 158,306,902,884/180,894
  6. Step 6: Final answer
    x = 875,136.28

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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.