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Finding the Third Proportional to 303,540 and 445,469

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Solution

The third proportional to 303,540 and 445,469 is: 653,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,540 : 445,469 = 445,469 : x
  2. Step 2: Convert to fraction form
    303,540/445,469 = 445,469/x
  3. Step 3: Cross multiply
    303,540x = 445,469 × 445,469
  4. Step 4: Simplify right side
    303,540x = 198,442,629,961
  5. Step 5: Solve for x
    x = 198,442,629,961/303,540
  6. Step 6: Final answer
    x = 653,761.05

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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.