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Finding the Third Proportional to 412,346 and 878,692

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Solution

The third proportional to 412,346 and 878,692 is: 1,872,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,346 : 878,692 = 878,692 : x
  2. Step 2: Convert to fraction form
    412,346/878,692 = 878,692/x
  3. Step 3: Cross multiply
    412,346x = 878,692 × 878,692
  4. Step 4: Simplify right side
    412,346x = 772,099,630,864
  5. Step 5: Solve for x
    x = 772,099,630,864/412,346
  6. Step 6: Final answer
    x = 1,872,455.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.