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Finding the Third Proportional to 307,039.50 and 451,782

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Solution

The third proportional to 307,039.50 and 451,782 is: 664,758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,039.50 : 451,782 = 451,782 : x
  2. Step 2: Convert to fraction form
    307,039.50/451,782 = 451,782/x
  3. Step 3: Cross multiply
    307,039.50x = 451,782 × 451,782
  4. Step 4: Simplify right side
    307,039.50x = 204,106,975,524
  5. Step 5: Solve for x
    x = 204,106,975,524/307,039.50
  6. Step 6: Final answer
    x = 664,758.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.