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Finding the Third Proportional to 206,721 and 301,880

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Solution

The third proportional to 206,721 and 301,880 is: 440,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,721 : 301,880 = 301,880 : x
  2. Step 2: Convert to fraction form
    206,721/301,880 = 301,880/x
  3. Step 3: Cross multiply
    206,721x = 301,880 × 301,880
  4. Step 4: Simplify right side
    206,721x = 91,131,534,400
  5. Step 5: Solve for x
    x = 91,131,534,400/206,721
  6. Step 6: Final answer
    x = 440,843.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.