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Finding the Third Proportional to 138,512 and 206,857

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Solution

The third proportional to 138,512 and 206,857 is: 308,924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,512 : 206,857 = 206,857 : x
  2. Step 2: Convert to fraction form
    138,512/206,857 = 206,857/x
  3. Step 3: Cross multiply
    138,512x = 206,857 × 206,857
  4. Step 4: Simplify right side
    138,512x = 42,789,818,449
  5. Step 5: Solve for x
    x = 42,789,818,449/138,512
  6. Step 6: Final answer
    x = 308,924.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.