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Finding the Third Proportional to 307,617 and 664,302

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Solution

The third proportional to 307,617 and 664,302 is: 1,434,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,617 : 664,302 = 664,302 : x
  2. Step 2: Convert to fraction form
    307,617/664,302 = 664,302/x
  3. Step 3: Cross multiply
    307,617x = 664,302 × 664,302
  4. Step 4: Simplify right side
    307,617x = 441,297,147,204
  5. Step 5: Solve for x
    x = 441,297,147,204/307,617
  6. Step 6: Final answer
    x = 1,434,566.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.