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Finding the Third Proportional to 307,368 and 629,910

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Solution

The third proportional to 307,368 and 629,910 is: 1,290,917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,368 : 629,910 = 629,910 : x
  2. Step 2: Convert to fraction form
    307,368/629,910 = 629,910/x
  3. Step 3: Cross multiply
    307,368x = 629,910 × 629,910
  4. Step 4: Simplify right side
    307,368x = 396,786,608,100
  5. Step 5: Solve for x
    x = 396,786,608,100/307,368
  6. Step 6: Final answer
    x = 1,290,917.10

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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.