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Finding the Third Proportional to 207,910 and 271,883

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Solution

The third proportional to 207,910 and 271,883 is: 355,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,910 : 271,883 = 271,883 : x
  2. Step 2: Convert to fraction form
    207,910/271,883 = 271,883/x
  3. Step 3: Cross multiply
    207,910x = 271,883 × 271,883
  4. Step 4: Simplify right side
    207,910x = 73,920,365,689
  5. Step 5: Solve for x
    x = 73,920,365,689/207,910
  6. Step 6: Final answer
    x = 355,540.21

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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.