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Finding the Third Proportional to 225,990 and 446,310

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Solution

The third proportional to 225,990 and 446,310 is: 881,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,990 : 446,310 = 446,310 : x
  2. Step 2: Convert to fraction form
    225,990/446,310 = 446,310/x
  3. Step 3: Cross multiply
    225,990x = 446,310 × 446,310
  4. Step 4: Simplify right side
    225,990x = 199,192,616,100
  5. Step 5: Solve for x
    x = 199,192,616,100/225,990
  6. Step 6: Final answer
    x = 881,422.26

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.