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Finding the Third Proportional to 206,738 and 450,392

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Solution

The third proportional to 206,738 and 450,392 is: 981,207.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,738 : 450,392 = 450,392 : x
  2. Step 2: Convert to fraction form
    206,738/450,392 = 450,392/x
  3. Step 3: Cross multiply
    206,738x = 450,392 × 450,392
  4. Step 4: Simplify right side
    206,738x = 202,852,953,664
  5. Step 5: Solve for x
    x = 202,852,953,664/206,738
  6. Step 6: Final answer
    x = 981,207.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.