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Finding the Third Proportional to 408,084 and 889,636

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Solution

The third proportional to 408,084 and 889,636 is: 1,939,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,084 : 889,636 = 889,636 : x
  2. Step 2: Convert to fraction form
    408,084/889,636 = 889,636/x
  3. Step 3: Cross multiply
    408,084x = 889,636 × 889,636
  4. Step 4: Simplify right side
    408,084x = 791,452,212,496
  5. Step 5: Solve for x
    x = 791,452,212,496/408,084
  6. Step 6: Final answer
    x = 1,939,434.56

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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.