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Finding the Third Proportional to 412,100 and 869,218

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Solution

The third proportional to 412,100 and 869,218 is: 1,833,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,100 : 869,218 = 869,218 : x
  2. Step 2: Convert to fraction form
    412,100/869,218 = 869,218/x
  3. Step 3: Cross multiply
    412,100x = 869,218 × 869,218
  4. Step 4: Simplify right side
    412,100x = 755,539,931,524
  5. Step 5: Solve for x
    x = 755,539,931,524/412,100
  6. Step 6: Final answer
    x = 1,833,389.79

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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.