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Finding the Third Proportional to 307,251 and 639,027

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Solution

The third proportional to 307,251 and 639,027 is: 1,329,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,251 : 639,027 = 639,027 : x
  2. Step 2: Convert to fraction form
    307,251/639,027 = 639,027/x
  3. Step 3: Cross multiply
    307,251x = 639,027 × 639,027
  4. Step 4: Simplify right side
    307,251x = 408,355,506,729
  5. Step 5: Solve for x
    x = 408,355,506,729/307,251
  6. Step 6: Final answer
    x = 1,329,061.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.