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Finding the Third Proportional to 405,326 and 879,880

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Solution

The third proportional to 405,326 and 879,880 is: 1,910,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,326 : 879,880 = 879,880 : x
  2. Step 2: Convert to fraction form
    405,326/879,880 = 879,880/x
  3. Step 3: Cross multiply
    405,326x = 879,880 × 879,880
  4. Step 4: Simplify right side
    405,326x = 774,188,814,400
  5. Step 5: Solve for x
    x = 774,188,814,400/405,326
  6. Step 6: Final answer
    x = 1,910,039.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.