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Finding the Third Proportional to 307,467 and 674,165

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Solution

The third proportional to 307,467 and 674,165 is: 1,478,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,467 : 674,165 = 674,165 : x
  2. Step 2: Convert to fraction form
    307,467/674,165 = 674,165/x
  3. Step 3: Cross multiply
    307,467x = 674,165 × 674,165
  4. Step 4: Simplify right side
    307,467x = 454,498,447,225
  5. Step 5: Solve for x
    x = 454,498,447,225/307,467
  6. Step 6: Final answer
    x = 1,478,202.37

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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.