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Finding the Third Proportional to 307,364 and 629,902

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Solution

The third proportional to 307,364 and 629,902 is: 1,290,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,364 : 629,902 = 629,902 : x
  2. Step 2: Convert to fraction form
    307,364/629,902 = 629,902/x
  3. Step 3: Cross multiply
    307,364x = 629,902 × 629,902
  4. Step 4: Simplify right side
    307,364x = 396,776,529,604
  5. Step 5: Solve for x
    x = 396,776,529,604/307,364
  6. Step 6: Final answer
    x = 1,290,901.11

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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.