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Finding the Third Proportional to 303,866 and 664,940

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Solution

The third proportional to 303,866 and 664,940 is: 1,455,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,866 : 664,940 = 664,940 : x
  2. Step 2: Convert to fraction form
    303,866/664,940 = 664,940/x
  3. Step 3: Cross multiply
    303,866x = 664,940 × 664,940
  4. Step 4: Simplify right side
    303,866x = 442,145,203,600
  5. Step 5: Solve for x
    x = 442,145,203,600/303,866
  6. Step 6: Final answer
    x = 1,455,066.39

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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.