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Finding the Third Proportional to 279,742 and 421,934

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Solution

The third proportional to 279,742 and 421,934 is: 636,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,742 : 421,934 = 421,934 : x
  2. Step 2: Convert to fraction form
    279,742/421,934 = 421,934/x
  3. Step 3: Cross multiply
    279,742x = 421,934 × 421,934
  4. Step 4: Simplify right side
    279,742x = 178,028,300,356
  5. Step 5: Solve for x
    x = 178,028,300,356/279,742
  6. Step 6: Final answer
    x = 636,401.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.