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Finding the Third Proportional to 303,610 and 445,568

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Solution

The third proportional to 303,610 and 445,568 is: 653,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,610 : 445,568 = 445,568 : x
  2. Step 2: Convert to fraction form
    303,610/445,568 = 445,568/x
  3. Step 3: Cross multiply
    303,610x = 445,568 × 445,568
  4. Step 4: Simplify right side
    303,610x = 198,530,842,624
  5. Step 5: Solve for x
    x = 198,530,842,624/303,610
  6. Step 6: Final answer
    x = 653,900.87

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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.