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Finding the Third Proportional to 643,109 and 1,396,894

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Solution

The third proportional to 643,109 and 1,396,894 is: 3,034,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,109 : 1,396,894 = 1,396,894 : x
  2. Step 2: Convert to fraction form
    643,109/1,396,894 = 1,396,894/x
  3. Step 3: Cross multiply
    643,109x = 1,396,894 × 1,396,894
  4. Step 4: Simplify right side
    643,109x = 1,951,312,847,236
  5. Step 5: Solve for x
    x = 1,951,312,847,236/643,109
  6. Step 6: Final answer
    x = 3,034,186.81

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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.