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Finding the Third Proportional to 225,718 and 299,635

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Solution

The third proportional to 225,718 and 299,635 is: 397,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,718 : 299,635 = 299,635 : x
  2. Step 2: Convert to fraction form
    225,718/299,635 = 299,635/x
  3. Step 3: Cross multiply
    225,718x = 299,635 × 299,635
  4. Step 4: Simplify right side
    225,718x = 89,781,133,225
  5. Step 5: Solve for x
    x = 89,781,133,225/225,718
  6. Step 6: Final answer
    x = 397,757.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.