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Finding the Third Proportional to 400,486 and 874,825

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Solution

The third proportional to 400,486 and 874,825 is: 1,910,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,486 : 874,825 = 874,825 : x
  2. Step 2: Convert to fraction form
    400,486/874,825 = 874,825/x
  3. Step 3: Cross multiply
    400,486x = 874,825 × 874,825
  4. Step 4: Simplify right side
    400,486x = 765,318,780,625
  5. Step 5: Solve for x
    x = 765,318,780,625/400,486
  6. Step 6: Final answer
    x = 1,910,975.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.