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Finding the Third Proportional to 303,544 and 445,474

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Solution

The third proportional to 303,544 and 445,474 is: 653,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,544 : 445,474 = 445,474 : x
  2. Step 2: Convert to fraction form
    303,544/445,474 = 445,474/x
  3. Step 3: Cross multiply
    303,544x = 445,474 × 445,474
  4. Step 4: Simplify right side
    303,544x = 198,447,084,676
  5. Step 5: Solve for x
    x = 198,447,084,676/303,544
  6. Step 6: Final answer
    x = 653,767.11

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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.