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Finding the Third Proportional to 408,519 and 879,921

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Solution

The third proportional to 408,519 and 879,921 is: 1,895,287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,519 : 879,921 = 879,921 : x
  2. Step 2: Convert to fraction form
    408,519/879,921 = 879,921/x
  3. Step 3: Cross multiply
    408,519x = 879,921 × 879,921
  4. Step 4: Simplify right side
    408,519x = 774,260,966,241
  5. Step 5: Solve for x
    x = 774,260,966,241/408,519
  6. Step 6: Final answer
    x = 1,895,287.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.