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Finding the Third Proportional to 307,246 and 629,251

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Solution

The third proportional to 307,246 and 629,251 is: 1,288,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,246 : 629,251 = 629,251 : x
  2. Step 2: Convert to fraction form
    307,246/629,251 = 629,251/x
  3. Step 3: Cross multiply
    307,246x = 629,251 × 629,251
  4. Step 4: Simplify right side
    307,246x = 395,956,821,001
  5. Step 5: Solve for x
    x = 395,956,821,001/307,246
  6. Step 6: Final answer
    x = 1,288,728.97

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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.