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Finding the Third Proportional to 380,438 and 899,692

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Solution

The third proportional to 380,438 and 899,692 is: 2,127,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,438 : 899,692 = 899,692 : x
  2. Step 2: Convert to fraction form
    380,438/899,692 = 899,692/x
  3. Step 3: Cross multiply
    380,438x = 899,692 × 899,692
  4. Step 4: Simplify right side
    380,438x = 809,445,694,864
  5. Step 5: Solve for x
    x = 809,445,694,864/380,438
  6. Step 6: Final answer
    x = 2,127,667.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.