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Finding the Third Proportional to 303,927 and 661,366

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Solution

The third proportional to 303,927 and 661,366 is: 1,439,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,927 : 661,366 = 661,366 : x
  2. Step 2: Convert to fraction form
    303,927/661,366 = 661,366/x
  3. Step 3: Cross multiply
    303,927x = 661,366 × 661,366
  4. Step 4: Simplify right side
    303,927x = 437,404,985,956
  5. Step 5: Solve for x
    x = 437,404,985,956/303,927
  6. Step 6: Final answer
    x = 1,439,177.78

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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.