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Finding the Third Proportional to 412,104 and 869,220

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Solution

The third proportional to 412,104 and 869,220 is: 1,833,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,104 : 869,220 = 869,220 : x
  2. Step 2: Convert to fraction form
    412,104/869,220 = 869,220/x
  3. Step 3: Cross multiply
    412,104x = 869,220 × 869,220
  4. Step 4: Simplify right side
    412,104x = 755,543,408,400
  5. Step 5: Solve for x
    x = 755,543,408,400/412,104
  6. Step 6: Final answer
    x = 1,833,380.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.