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Finding the Third Proportional to 210,967 and 281,815

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Solution

The third proportional to 210,967 and 281,815 is: 376,455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,967 : 281,815 = 281,815 : x
  2. Step 2: Convert to fraction form
    210,967/281,815 = 281,815/x
  3. Step 3: Cross multiply
    210,967x = 281,815 × 281,815
  4. Step 4: Simplify right side
    210,967x = 79,419,694,225
  5. Step 5: Solve for x
    x = 79,419,694,225/210,967
  6. Step 6: Final answer
    x = 376,455.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.