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Finding the Third Proportional to 303,778 and 664,744

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Solution

The third proportional to 303,778 and 664,744 is: 1,454,629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,778 : 664,744 = 664,744 : x
  2. Step 2: Convert to fraction form
    303,778/664,744 = 664,744/x
  3. Step 3: Cross multiply
    303,778x = 664,744 × 664,744
  4. Step 4: Simplify right side
    303,778x = 441,884,585,536
  5. Step 5: Solve for x
    x = 441,884,585,536/303,778
  6. Step 6: Final answer
    x = 1,454,629.98

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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.