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Finding the Third Proportional to 386,667 and 847,692

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Solution

The third proportional to 386,667 and 847,692 is: 1,858,399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,667 : 847,692 = 847,692 : x
  2. Step 2: Convert to fraction form
    386,667/847,692 = 847,692/x
  3. Step 3: Cross multiply
    386,667x = 847,692 × 847,692
  4. Step 4: Simplify right side
    386,667x = 718,581,726,864
  5. Step 5: Solve for x
    x = 718,581,726,864/386,667
  6. Step 6: Final answer
    x = 1,858,399.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.