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Finding the Third Proportional to 303,864 and 664,936

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Solution

The third proportional to 303,864 and 664,936 is: 1,455,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,864 : 664,936 = 664,936 : x
  2. Step 2: Convert to fraction form
    303,864/664,936 = 664,936/x
  3. Step 3: Cross multiply
    303,864x = 664,936 × 664,936
  4. Step 4: Simplify right side
    303,864x = 442,139,884,096
  5. Step 5: Solve for x
    x = 442,139,884,096/303,864
  6. Step 6: Final answer
    x = 1,455,058.46

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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.