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Finding the Third Proportional to 307,189 and 673,427

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Solution

The third proportional to 307,189 and 673,427 is: 1,476,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,189 : 673,427 = 673,427 : x
  2. Step 2: Convert to fraction form
    307,189/673,427 = 673,427/x
  3. Step 3: Cross multiply
    307,189x = 673,427 × 673,427
  4. Step 4: Simplify right side
    307,189x = 453,503,924,329
  5. Step 5: Solve for x
    x = 453,503,924,329/307,189
  6. Step 6: Final answer
    x = 1,476,302.62

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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.