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Finding the Third Proportional to 307,840.50 and 445,446

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Solution

The third proportional to 307,840.50 and 445,446 is: 644,561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,840.50 : 445,446 = 445,446 : x
  2. Step 2: Convert to fraction form
    307,840.50/445,446 = 445,446/x
  3. Step 3: Cross multiply
    307,840.50x = 445,446 × 445,446
  4. Step 4: Simplify right side
    307,840.50x = 198,422,138,916
  5. Step 5: Solve for x
    x = 198,422,138,916/307,840.50
  6. Step 6: Final answer
    x = 644,561.51

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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.