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Finding the Third Proportional to 214,191 and 281,505

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Solution

The third proportional to 214,191 and 281,505 is: 369,973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,191 : 281,505 = 281,505 : x
  2. Step 2: Convert to fraction form
    214,191/281,505 = 281,505/x
  3. Step 3: Cross multiply
    214,191x = 281,505 × 281,505
  4. Step 4: Simplify right side
    214,191x = 79,245,065,025
  5. Step 5: Solve for x
    x = 79,245,065,025/214,191
  6. Step 6: Final answer
    x = 369,973.83

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.