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Finding the Third Proportional to 303,935 and 661,384

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Solution

The third proportional to 303,935 and 661,384 is: 1,439,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,935 : 661,384 = 661,384 : x
  2. Step 2: Convert to fraction form
    303,935/661,384 = 661,384/x
  3. Step 3: Cross multiply
    303,935x = 661,384 × 661,384
  4. Step 4: Simplify right side
    303,935x = 437,428,795,456
  5. Step 5: Solve for x
    x = 437,428,795,456/303,935
  6. Step 6: Final answer
    x = 1,439,218.24

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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.