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Finding the Third Proportional to 271,921 and 302,539

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Solution

The third proportional to 271,921 and 302,539 is: 336,604.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,921 : 302,539 = 302,539 : x
  2. Step 2: Convert to fraction form
    271,921/302,539 = 302,539/x
  3. Step 3: Cross multiply
    271,921x = 302,539 × 302,539
  4. Step 4: Simplify right side
    271,921x = 91,529,846,521
  5. Step 5: Solve for x
    x = 91,529,846,521/271,921
  6. Step 6: Final answer
    x = 336,604.55

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.