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Finding the Third Proportional to 307,684 and 667,852

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Solution

The third proportional to 307,684 and 667,852 is: 1,449,624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,684 : 667,852 = 667,852 : x
  2. Step 2: Convert to fraction form
    307,684/667,852 = 667,852/x
  3. Step 3: Cross multiply
    307,684x = 667,852 × 667,852
  4. Step 4: Simplify right side
    307,684x = 446,026,293,904
  5. Step 5: Solve for x
    x = 446,026,293,904/307,684
  6. Step 6: Final answer
    x = 1,449,624.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.