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Finding the Third Proportional to 303,922 and 661,357

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Solution

The third proportional to 303,922 and 661,357 is: 1,439,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,922 : 661,357 = 661,357 : x
  2. Step 2: Convert to fraction form
    303,922/661,357 = 661,357/x
  3. Step 3: Cross multiply
    303,922x = 661,357 × 661,357
  4. Step 4: Simplify right side
    303,922x = 437,393,081,449
  5. Step 5: Solve for x
    x = 437,393,081,449/303,922
  6. Step 6: Final answer
    x = 1,439,162.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.