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Finding the Third Proportional to 307,363.50 and 629,901

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Solution

The third proportional to 307,363.50 and 629,901 is: 1,290,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,363.50 : 629,901 = 629,901 : x
  2. Step 2: Convert to fraction form
    307,363.50/629,901 = 629,901/x
  3. Step 3: Cross multiply
    307,363.50x = 629,901 × 629,901
  4. Step 4: Simplify right side
    307,363.50x = 396,775,269,801
  5. Step 5: Solve for x
    x = 396,775,269,801/307,363.50
  6. Step 6: Final answer
    x = 1,290,899.11

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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.