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Finding the Third Proportional to 307,234 and 638,994

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Solution

The third proportional to 307,234 and 638,994 is: 1,328,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,234 : 638,994 = 638,994 : x
  2. Step 2: Convert to fraction form
    307,234/638,994 = 638,994/x
  3. Step 3: Cross multiply
    307,234x = 638,994 × 638,994
  4. Step 4: Simplify right side
    307,234x = 408,313,332,036
  5. Step 5: Solve for x
    x = 408,313,332,036/307,234
  6. Step 6: Final answer
    x = 1,328,997.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.