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Finding the Third Proportional to 301,414.25 and 644,283.25

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Solution

The third proportional to 301,414.25 and 644,283.25 is: 1,377,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,414.25 : 644,283.25 = 644,283.25 : x
  2. Step 2: Convert to fraction form
    301,414.25/644,283.25 = 644,283.25/x
  3. Step 3: Cross multiply
    301,414.25x = 644,283.25 × 644,283.25
  4. Step 4: Simplify right side
    301,414.25x = 415,100,906,230.56
  5. Step 5: Solve for x
    x = 415,100,906,230.56/301,414.25
  6. Step 6: Final answer
    x = 1,377,177.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.