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Finding the Third Proportional to 415,144 and 907,198

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Solution

The third proportional to 415,144 and 907,198 is: 1,982,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,144 : 907,198 = 907,198 : x
  2. Step 2: Convert to fraction form
    415,144/907,198 = 907,198/x
  3. Step 3: Cross multiply
    415,144x = 907,198 × 907,198
  4. Step 4: Simplify right side
    415,144x = 823,008,211,204
  5. Step 5: Solve for x
    x = 823,008,211,204/415,144
  6. Step 6: Final answer
    x = 1,982,464.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.