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Finding the Third Proportional to 307,244.25 and 629,247.38

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Solution

The third proportional to 307,244.25 and 629,247.38 is: 1,288,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,244.25 : 629,247.38 = 629,247.38 : x
  2. Step 2: Convert to fraction form
    307,244.25/629,247.38 = 629,247.38/x
  3. Step 3: Cross multiply
    307,244.25x = 629,247.38 × 629,247.38
  4. Step 4: Simplify right side
    307,244.25x = 395,952,258,944.39
  5. Step 5: Solve for x
    x = 395,952,258,944.39/307,244.25
  6. Step 6: Final answer
    x = 1,288,721.46

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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.