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Finding the Third Proportional to 168,739 and 356,451

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Solution

The third proportional to 168,739 and 356,451 is: 752,981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,739 : 356,451 = 356,451 : x
  2. Step 2: Convert to fraction form
    168,739/356,451 = 356,451/x
  3. Step 3: Cross multiply
    168,739x = 356,451 × 356,451
  4. Step 4: Simplify right side
    168,739x = 127,057,315,401
  5. Step 5: Solve for x
    x = 127,057,315,401/168,739
  6. Step 6: Final answer
    x = 752,981.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.