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Finding the Third Proportional to 307,834.50 and 445,437

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Solution

The third proportional to 307,834.50 and 445,437 is: 644,548.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,834.50 : 445,437 = 445,437 : x
  2. Step 2: Convert to fraction form
    307,834.50/445,437 = 445,437/x
  3. Step 3: Cross multiply
    307,834.50x = 445,437 × 445,437
  4. Step 4: Simplify right side
    307,834.50x = 198,414,120,969
  5. Step 5: Solve for x
    x = 198,414,120,969/307,834.50
  6. Step 6: Final answer
    x = 644,548.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.