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Finding the Third Proportional to 300,414 and 643,474

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Solution

The third proportional to 300,414 and 643,474 is: 1,378,293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,414 : 643,474 = 643,474 : x
  2. Step 2: Convert to fraction form
    300,414/643,474 = 643,474/x
  3. Step 3: Cross multiply
    300,414x = 643,474 × 643,474
  4. Step 4: Simplify right side
    300,414x = 414,058,788,676
  5. Step 5: Solve for x
    x = 414,058,788,676/300,414
  6. Step 6: Final answer
    x = 1,378,293.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.