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Finding the Third Proportional to 303,550 and 445,483

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Solution

The third proportional to 303,550 and 445,483 is: 653,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,550 : 445,483 = 445,483 : x
  2. Step 2: Convert to fraction form
    303,550/445,483 = 445,483/x
  3. Step 3: Cross multiply
    303,550x = 445,483 × 445,483
  4. Step 4: Simplify right side
    303,550x = 198,455,103,289
  5. Step 5: Solve for x
    x = 198,455,103,289/303,550
  6. Step 6: Final answer
    x = 653,780.61

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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.