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Finding the Third Proportional to 305,680 and 673,568

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Solution

The third proportional to 305,680 and 673,568 is: 1,484,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,680 : 673,568 = 673,568 : x
  2. Step 2: Convert to fraction form
    305,680/673,568 = 673,568/x
  3. Step 3: Cross multiply
    305,680x = 673,568 × 673,568
  4. Step 4: Simplify right side
    305,680x = 453,693,850,624
  5. Step 5: Solve for x
    x = 453,693,850,624/305,680
  6. Step 6: Final answer
    x = 1,484,211.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.