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Finding the Third Proportional to 304,821 and 667,719

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Solution

The third proportional to 304,821 and 667,719 is: 1,462,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,821 : 667,719 = 667,719 : x
  2. Step 2: Convert to fraction form
    304,821/667,719 = 667,719/x
  3. Step 3: Cross multiply
    304,821x = 667,719 × 667,719
  4. Step 4: Simplify right side
    304,821x = 445,848,662,961
  5. Step 5: Solve for x
    x = 445,848,662,961/304,821
  6. Step 6: Final answer
    x = 1,462,657.31

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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.