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Finding the Third Proportional to 306,978 and 629,169

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Solution

The third proportional to 306,978 and 629,169 is: 1,289,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,978 : 629,169 = 629,169 : x
  2. Step 2: Convert to fraction form
    306,978/629,169 = 629,169/x
  3. Step 3: Cross multiply
    306,978x = 629,169 × 629,169
  4. Step 4: Simplify right side
    306,978x = 395,853,630,561
  5. Step 5: Solve for x
    x = 395,853,630,561/306,978
  6. Step 6: Final answer
    x = 1,289,517.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.