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Finding the Third Proportional to 412,137 and 878,274

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Solution

The third proportional to 412,137 and 878,274 is: 1,871,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,137 : 878,274 = 878,274 : x
  2. Step 2: Convert to fraction form
    412,137/878,274 = 878,274/x
  3. Step 3: Cross multiply
    412,137x = 878,274 × 878,274
  4. Step 4: Simplify right side
    412,137x = 771,365,219,076
  5. Step 5: Solve for x
    x = 771,365,219,076/412,137
  6. Step 6: Final answer
    x = 1,871,623.32

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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.