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Finding the Third Proportional to 412,176 and 868,634

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Solution

The third proportional to 412,176 and 868,634 is: 1,830,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,176 : 868,634 = 868,634 : x
  2. Step 2: Convert to fraction form
    412,176/868,634 = 868,634/x
  3. Step 3: Cross multiply
    412,176x = 868,634 × 868,634
  4. Step 4: Simplify right side
    412,176x = 754,525,025,956
  5. Step 5: Solve for x
    x = 754,525,025,956/412,176
  6. Step 6: Final answer
    x = 1,830,589.42

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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.