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Finding the Third Proportional to 643,724 and 1,398,067

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Solution

The third proportional to 643,724 and 1,398,067 is: 3,036,381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,724 : 1,398,067 = 1,398,067 : x
  2. Step 2: Convert to fraction form
    643,724/1,398,067 = 1,398,067/x
  3. Step 3: Cross multiply
    643,724x = 1,398,067 × 1,398,067
  4. Step 4: Simplify right side
    643,724x = 1,954,591,336,489
  5. Step 5: Solve for x
    x = 1,954,591,336,489/643,724
  6. Step 6: Final answer
    x = 3,036,381.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.